The number 10108
10108 is a composite number with 18 divisors. Its prime factorisation is × 7 × . Divisors (18): 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 361, 532, 722, 1444, 2527 … 10108.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10108 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10108 is composite. Its prime factorisation is
- 3
The divisors add up to 21336; without 10108 itself that is 11228, so 10108 is abundant (11228 is more than 10108). Euler's totient φ(10108) = 4104 numbers up to 10108 share no factor with it.
- 4
The digits of 10108 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10108 = 2^{2} \times 7 \times 19^{2} \]10108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 21336 |
| Euler totient φ(n) | 4104 |
| Square | 102171664 |
| Cube | 1032751179712 |
| Square root | 100.538550 (= 38√7) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 179 |
| Scientific notation | 1.0108 × |
10108 in other forms
| Form | Value |
|---|---|
| In words | ten thousand one hundred and eight |
| Binary (base 2) | 10011101111100 |
| Octal (base 8) | 23574 |
| Hexadecimal (base 16) | 277C |
| Base 3 | 111212101 |
| As time | 10108 seconds = 2 h 48 min 28 s |
Is 10108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10108 ÷ 2 = 5054) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (10108 ÷ 4 = 2527) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (10108 ÷ 7 = 1444) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10108 a prime number?
No. 10108 = × 7 × , so it is divisible by 2.
What are the factors of 10108?
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 361, 532, 722, 1444, 2527, 5054, 10108.
What is 10108 in binary?
10011101111100 (hexadecimal 277C, octal 23574).
What is the square root of 10108?
About 100.5385, exactly 38√7.
Is 10108 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 10108?
It is a composite number with 18 divisors.