107724864 has 56 divisors (see below), whose sum is σ = 306953920. Its totient is φ = 33145344.

The previous prime is 107724863. The next prime is 107724901. The reversal of 107724864 is 468427701.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107724863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19084 + ... + 24075.

It is an arithmetic number, because the mean of its divisors is an integer number (5481320).

Almost surely, 2^107724864 is an apocalyptic number.

It is an amenable number.

107724864 is an abundant number, since it is smaller than the sum of its proper divisors (199229056).

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

107724864 is a wasteful number, since it uses less digits than its factorization.

107724864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43187 (or 43177 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 107724864 is about 10379.0589168768. The cubic root of 107724864 is about 475.8155724569.

The spelling of 107724864 in words is "one hundred seven million, seven hundred twenty-four thousand, eight hundred sixty-four".