| Base | Representation |
|---|---|
| bin | 1100101001111… |
| … | …11010110000000 |
| 3 | 21101202202212110 |
| 4 | 12110333112000 |
| 5 | 204134300012 |
| 6 | 14311255320 |
| 7 | 2426251536 |
| oct | 624772600 |
| 9 | 241682773 |
| 10 | 106165632 |
| 11 | 54a228a1 |
| 12 | 2b67a540 |
| 13 | 18cc2001 |
| 14 | 10158156 |
| 15 | 94c173c |
| hex | 653f580 |
106165632 has 64 divisors (see below), whose sum is σ = 285485760. Its totient is φ = 34951680.
The previous prime is 106165573. The next prime is 106165639. The reversal of 106165632 is 236561601.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×1061656322 = 22542282835918848, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 106165632.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106165639) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30207 + ... + 33537.
It is an arithmetic number, because the mean of its divisors is an integer number (4460715).
Almost surely, 2106165632 is an apocalyptic number.
106165632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 106165632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142742880).
106165632 is an abundant number, since it is smaller than the sum of its proper divisors (179320128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106165632 is an equidigital number, since it uses as much as digits as its factorization.
106165632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3431 (or 3419 counting only the distinct ones).
The product of its (nonzero) digits is 6480, while the sum is 30.
The square root of 106165632 is about 10303.6708021947. The cubic root of 106165632 is about 473.5087220608.
The spelling of 106165632 in words is "one hundred six million, one hundred sixty-five thousand, six hundred thirty-two".
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