The number 10107
10107 is a composite number with 6 divisors. Its prime factorisation is × 1123. Divisors (6): 1, 3, 9, 1123, 3369, 10107.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10107: a Harshad number: divisible by its digit sum 9.
- 2
10107 is composite. Its prime factorisation is
- 3
The divisors add up to 14612; without 10107 itself that is 4505, so 10107 is deficient (4505 is less than 10107). Euler's totient φ(10107) = 6732 numbers up to 10107 share no factor with it.
- 4
The digits of 10107 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10107 = 3^{2} \times 1123 \]10107 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 14612 |
| Euler totient φ(n) | 6732 |
| Square | 102151449 |
| Cube | 1032444695043 |
| Square root | 100.533576 (= 3√1123) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 86 |
| Scientific notation | 1.0107 × |
10107 in other forms
| Form | Value |
|---|---|
| In words | ten thousand one hundred and seven |
| Binary (base 2) | 10011101111011 |
| Octal (base 8) | 23573 |
| Hexadecimal (base 16) | 277B |
| Base 3 | 111212100 |
| As time | 10107 seconds = 2 h 48 min 27 s |
Is 10107 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (10107 ÷ 3 = 3369) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (10107 ÷ 9 = 1123) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10107 a prime number?
No. 10107 = × 1123, so it is divisible by 3.
What are the factors of 10107?
1, 3, 9, 1123, 3369, 10107.
What is 10107 in binary?
10011101111011 (hexadecimal 277B, octal 23573).
What is the square root of 10107?
About 100.5336, exactly 3√1123.
Is 10107 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 10107?
10107 is a Harshad number: divisible by its digit sum 9.