100 [one hundred] is an even three-digits composite number following 99 and preceding 101. In scientific notation, it is written as 1 × 102. The sum of its digits is 1. It has a total of 4 prime factors and 9 positive divisors. There are 40 positive integers [up to 100] that are relatively prime to 100.
- Is Prime? No
- Number parity Even
- Number length 3
- Sum of Digits 1
- Digital Root 1
| 100 |
| one hundred |
| 1 × 102 |
| 100 × 100 |
Prime Factorization 22 × 52
Composite number
| ω[n] | Distinct Factors2 | Total number of distinct prime factors |
| Ω[n] | Total Factors4 | Total number of prime factors |
| rad[n] | Radical10 | Product of the distinct prime numbers |
| λ[n] | Liouville Lambda1 | Returns the parity of Ω[n], such that λ[n] = [-1]Ω[n] |
| μ[n] | Mobius Mu0 | Returns:
|
| Λ[n] | Mangoldt function0 | Returns log[p] if n is a power pk of any prime p [for any k >= 1], else returns 0 |
The prime factorization of 100 is 22 × 52. Since it has a total of 4 prime factors, 100 is a composite number.
9 divisors
| 6 |
| 3 |
| 3 |
| 0 |
| τ[n] | Total Divisors9 | Total number of the positive divisors of n |
| σ[n] | Sum of Divisors217 | Sum of all the positive divisors of n |
| s[n] | Aliquot Sum117 | Sum of the proper positive divisors of n |
| A[n] | Arithmetic Mean24.111 | Returns the sum of divisors [σ[n]] divided by the total number of divisors [τ[n]] |
| G[n] | Geometric Mean10 | Returns the nth root of the product of n divisors |
| H[n] | Harmonic Mean4.1474654378071 | Returns the total number of divisors [τ[n]] divided by the sum of the reciprocal of each divisors |
The number 100 can be divided by 9 positive divisors [out of which 6 are even, and 3 are odd]. The sum of these divisors [counting 100] is 217, the average is 24.,111.
| φ[n] | Euler Totient40 | Total number of positive integers not greater than n that are coprime to n |
| λ[n] | Carmichael Lambda20 | Smallest positive number such that aλ[n] ≡ 1 [mod n] for all a coprime to n |
| π[n] | Prime Pi≈ 25 | Total number of primes less than or equal to n |
| r2[n] | Sum of 2 squares12 | The number of ways n can be represented as the sum of 2 squares |
There are 40 positive integers [less than 100] that are coprime with 100. And there are approximately 25 prime numbers less than or equal to 100.
| 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 0 | 1 | 0 | 0 | 4 | 2 | 4 | 1 |
The number 100 is divisible by 2, 4 and 5.
By Arithmetic functions
Expressible via specific sums
By Shape [2D, non-centered]
By Powers
By other polynomial forms
Other numbers
| Binary | 1100100 |
| Ternary | 10201 |
| Quaternary | 1210 |
| Quinary | 400 |
| Senary | 244 |
| Octal | 144 |
| Decimal | 100 |
| Duodecimal | 84 |
| Hexadecimal | 64 |
| Vigesimal | 50 |
| Base36 | 2s |
Multiplication
n×y
n×2 200
n×3 300
n×4 400
n×5 500
Division
n÷y
n÷2 50.000
n÷3 33.333
n÷4 25.000
n÷5 20.000
Exponentiation
ny
n2 10000
n3 1000000
n4 100000000
n5 10000000000
Nth Root
y√n
2√n 10
3√n 4.6415888336128
4√n 3.1622776601684
5√n 2.5118864315096
Length = n Length = nDiameter 200
Circumference 628.31853071796
Area 31415.926535898
Volume 4188790.2047864
Surface area 125663.70614359
Circumference 628.31853071796
Perimeter 400
Area 10000
Diagonal 141.42135623731
Surface area 60000
Volume 1000000
Space diagonal 173.20508075689
Equilateral Triangle
Perimeter 300
Area 4330.1270189222
Altitude 86.602540378444
Triangular Pyramid
Surface area 17320.508075689
Volume 117851.13019776
Height 81.649658092773
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