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106686656 = 267921101
BaseRepresentation
bin1100101101111…
…10100011000000
321102202020120122
412112332203000
5204302433111
614330355412
72433551546
oct626764300
9242666518
10106686656
115524929a
122b88bb68
13191451cb
1410251d96
159575cdb
hex65be8c0

106686656 has 28 divisors (see below), whose sum is σ = 214396320. Its totient is φ = 52665600.

The previous prime is 106686647. The next prime is 106686677. The reversal of 106686656 is 656686601.

It is a super-2 number, since 2×1066866562 = 22764085136924672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 5495 + ... + 15606.

Almost surely, 2106686656 is an apocalyptic number.

106686656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106686656 is an abundant number, since it is smaller than the sum of its proper divisors (107709664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106686656 is an equidigital number, since it uses as much as digits as its factorization.

106686656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21192 (or 21182 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The square root of 106686656 is about 10328.9232739913. The cubic root of 106686656 is about 474.2820637174.

Subtracting 106686656 from its reverse (656686601), we obtain a palindrome (549999945).

The spelling of 106686656 in words is "one hundred six million, six hundred eighty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 79 158 316 632 1264 2528 5056 21101 42202 84404 168808 337616 675232 1350464 1666979 3333958 6667916 13335832 26671664 53343328 106686656