107564940 has 72 divisors (see below), whose sum is σ = 372896160. Its totient is φ = 24585984.

The previous prime is 107564923. The next prime is 107564959. The reversal of 107564940 is 49465701.

107564940 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 649 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 107564895 and 107564904.

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, 41425 + ... + 43944.

Almost surely, 2^107564940 is an apocalyptic number.

107564940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107564940 is an abundant number, since it is smaller than the sum of its proper divisors (265331220).

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

107564940 is a wasteful number, since it uses less digits than its factorization.

107564940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85391 (or 85386 counting only the distinct ones).

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

The square root of 107564940 is about 10371.3518887366. The cubic root of 107564940 is about 475.5799969565.

The spelling of 107564940 in words is "one hundred seven million, five hundred sixty-four thousand, nine hundred forty".