| Base | Representation |
|---|---|
| bin | 1100101011001… |
| … | …00101101000000 |
| 3 | 21102001112210000 |
| 4 | 12111210231000 |
| 5 | 204204144111 |
| 6 | 14314440000 |
| 7 | 2430456633 |
| oct | 625445500 |
| 9 | 242045700 |
| 10 | 106318656 |
| 11 | 55017864 |
| 12 | 2b733000 |
| 13 | 19046862 |
| 14 | 10197c1a |
| 15 | 9501c56 |
| hex | 6564b40 |
106318656 has 70 divisors (see below), whose sum is σ = 315177170. Its totient is φ = 35437824.
The previous prime is 106318651. The next prime is 106318657. The reversal of 106318656 is 656813601.
It is a happy number.
106318656 is a `hidden beast` number, since 10 + 631 + 8 + 6 + 5 + 6 = 666.
It can be written as a sum of positive squares in only one way, i.e., 77158656 + 29160000 = 8784^2 + 5400^2 .
It is a super-2 number, since 2×1063186562 = 22607313227292672, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 106318656.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106318651) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5071 + ... + 15438.
It is an arithmetic number, because the mean of its divisors is an integer number (4502531).
Almost surely, 2106318656 is an apocalyptic number.
106318656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
106318656 is an abundant number, since it is smaller than the sum of its proper divisors (208858514).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106318656 is an equidigital number, since it uses as much as digits as its factorization.
106318656 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20533 (or 20514 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 36.
The square root of 106318656 is about 10311.0938314031. The cubic root of 106318656 is about 473.7361133302.
The spelling of 106318656 in words is "one hundred six million, three hundred eighteen thousand, six hundred fifty-six".
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