107685360 has 60 divisors (see below), whose sum is σ = 361645752. Its totient is φ = 28715904.

The previous prime is 107685359. The next prime is 107685371. The reversal of 107685360 is 63586701.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×107685360² = 23192273516659200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74062 + ... + 75501.

Almost surely, 2^107685360 is an apocalyptic number.

107685360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107685360 is an abundant number, since it is smaller than the sum of its proper divisors (253960392).

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

107685360 is a wasteful number, since it uses less digits than its factorization.

107685360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149582 (or 149573 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 107685360 is about 10377.1556796648. The cubic root of 107685360 is about 475.7574029196.

It can be divided in two parts, 1076 and 85360, that added together give a square (86436 = 294²).

The spelling of 107685360 in words is "one hundred seven million, six hundred eighty-five thousand, three hundred sixty".