107686656 has 216 divisors, whose sum is σ = 387738624. Its totient is φ = 27924480.

The previous prime is 107686639. The next prime is 107686669. The reversal of 107686656 is 656686701.

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 23 ways as a sum of consecutive naturals, for example, 177105 + ... + 177711.

Almost surely, 2^107686656 is an apocalyptic number.

107686656 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 107686656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193869312).

107686656 is an abundant number, since it is smaller than the sum of its proper divisors (280051968).

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

107686656 is a wasteful number, since it uses less digits than its factorization.

107686656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 107686656 is about 10377.2181243337. The cubic root of 107686656 is about 475.7593115019.

Adding to 107686656 its sum of digits (45), we get a palindrome (107686701).

It can be divided in two parts, 10768 and 6656, that added together give a square (17424 = 132²).

The spelling of 107686656 in words is "one hundred seven million, six hundred eighty-six thousand, six hundred fifty-six".