| Base | Representation |
|---|---|
| bin | 1100101100110… |
| … | …01011100000000 |
| 3 | 21102110112002000 |
| 4 | 12112121130000 |
| 5 | 204233102111 |
| 6 | 14323224000 |
| 7 | 2432346444 |
| oct | 626313400 |
| 9 | 242415060 |
| 10 | 106534656 |
| 11 | 55155078 |
| 12 | 2b818000 |
| 13 | 190c0c77 |
| 14 | 10212824 |
| 15 | 9545c56 |
| hex | 6599700 |
106534656 has 72 divisors (see below), whose sum is σ = 315062160. Its totient is φ = 35509248.
The previous prime is 106534639. The next prime is 106534663. The reversal of 106534656 is 656435601.
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×1065346562 = 22699265858076672, 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 106534656.
It is a congruent number.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 795 + ... + 14618.
Almost surely, 2106534656 is an apocalyptic number.
106534656 is a gapful number since it is divisible by the number (16) 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 106534656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157531080).
106534656 is an abundant number, since it is smaller than the sum of its proper divisors (208527504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106534656 is an equidigital number, since it uses as much as digits as its factorization.
106534656 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15438 (or 15418 counting only the distinct ones).
The product of its (nonzero) digits is 64800, while the sum is 36.
The square root of 106534656 is about 10321.5626723864. The cubic root of 106534656 is about 474.0567148929.
It can be divided in two parts, 1065 and 34656, that added together give a square (35721 = 1892).
The spelling of 106534656 in words is "one hundred six million, five hundred thirty-four thousand, six hundred fifty-six".
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