107684856 has 96 divisors (see below), whose sum is σ = 315925200. Its totient is φ = 33981120.

The previous prime is 107684839. The next prime is 107684867. The reversal of 107684856 is 658486701.

It is a happy number.

107684856 is a `hidden beast` number, since 107 + 68 + 485 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77286 + ... + 78666.

Almost surely, 2^107684856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107684856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157962600).

107684856 is an abundant number, since it is smaller than the sum of its proper divisors (208240344).

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

107684856 is a wasteful number, since it uses less digits than its factorization.

107684856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 107684856 is about 10377.1313955255. The cubic root of 107684856 is about 475.7566606890.

The spelling of 107684856 in words is "one hundred seven million, six hundred eighty-four thousand, eight hundred fifty-six".