100900 (number)
100,900 (one hundred thousand nine hundred) is an even sixdigits composite number following 100899 and preceding 100901. In scientific notation, it is written as 1.009 × 10^{5}. The sum of its digits is 10. It has a total of 5 prime factors and 18 positive divisors. There are 40,320 positive integers (up to 100900) that are relatively prime to 100900.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 6
 Sum of Digits 10
 Digital Root 1
Name
Short name  100 thousand 900 

Full name  one hundred thousand nine hundred 
Notation
Scientific notation  1.009 × 10^{5} 

Engineering notation  100.9 × 10^{3} 
Prime Factorization of 100900
Prime Factorization 2^{2} × 5^{2} × 1009
Composite numberω(n)  Distinct Factors  3  Total number of distinct prime factors 

Ω(n)  Total Factors  5  Total number of prime factors 
rad(n)  Radical  10090  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  0  Returns:

Λ(n)  Mangoldt function  0  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 100,900 is 2^{2} × 5^{2} × 1009. Since it has a total of 5 prime factors, 100,900 is a composite number.
Divisors of 100900
18 divisors
τ(n)  Total Divisors  18  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  219170  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  118270  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  12176.111  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  317.64760348537  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  8.286718072729  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 100,900 can be divided by 18 positive divisors (out of which 12 are even, and 6 are odd). The sum of these divisors (counting 100,900) is 219,170, the average is 121,76.,111.
Other Arithmetic Functions (n = 100900)
φ(n)  Euler Totient  40320  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  5040  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 9642  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  24  The number of ways n can be represented as the sum of 2 squares 
There are 40,320 positive integers (less than 100,900) that are coprime with 100,900. And there are approximately 9,642 prime numbers less than or equal to 100,900.
Divisibility of 100900
m  2  3  4  5  6  7  8  9 

n mod m  0  1  0  0  4  2  4  1 
The number 100,900 is divisible by 2, 4 and 5.
Classification of 100900
By Arithmetic functions
 Abundant
Expressible via specific sums
 Polite
Base conversion (100900)
Base  System  Value 

2  Binary  11000101000100100 
3  Ternary  12010102001 
4  Quaternary  120220210 
5  Quinary  11212100 
6  Senary  2055044 
8  Octal  305044 
10  Decimal  100900 
12  Duodecimal  4a484 
16  Hexadecimal  18a24 
20  Vigesimal  cc50 
36  Base36  25us 
Basic calculations (n = 100900)
Multiplication
n×yn×2  201800 

n×3  302700 
n×4  403600 
n×5  504500 
Division
n÷yn÷2  50450.000 

n÷3  33633.333 
n÷4  25225.000 
n÷5  20180.000 
Exponentiation
n^{y}n^{2}  10180810000 

n^{3}  1027243729000000 
n^{4}  103648892256100000000 
n^{5}  10458173228640490000000000 
Nth Root
^{y}√n^{2}√n  317.64760348537 

^{3}√n  46.554720334406 
^{4}√n  17.822671053615 
^{5}√n  10.01793554773 
100900 as geometric shapes
Circle
Radius = nDiameter  201800 

Circumference  633973.39749442 
Area  31983957903.594 
Sphere
Radius = nVolume  4.3029084699634E+15 

Surface area  127935831614.37 
Circumference  633973.39749442 
Square
Length = nPerimeter  403600 

Area  10180810000 
Diagonal  142694.14844345 
Cube
Length = nSurface area  61084860000 

Volume  1027243729000000 
Space diagonal  174763.9264837 
Equilateral Triangle
Length = nPerimeter  302700 

Area  4408420045.5513 
Altitude  87381.96324185 
Triangular Pyramid
Length = nSurface area  17633680182.205 

Volume  1.2106183445121E+14 
Height  82384.505015608 
Cryptographic Hash Functions
md5  f9e9c455c87f29309f7e2d32b70c4817 

sha1  ce81128e2ab198e1d3b756a51b3773659eee245d 
sha256  6d219f040ea5a17849892262a3f8c789c53527b87f7c6f0e7f7d93efb85fe7ba 
sha512  56727a0e77f835a85ddf7aa39c48a9ff0e84bbfe7afa3c84002a73367387a083aeac022c8cdc1123abe0f50eee616d34cbe9b6d1b92c2f33f77dbaf504615900 
ripemd160  57ea24a30af5f911f915e6a06d9ce624b26d13c9 