108324864 has 120 divisors (see below), whose sum is σ = 324053730. Its totient is φ = 36052992.

The previous prime is 108324859. The next prime is 108324929. The reversal of 108324864 is 468423801.

It can be written as a sum of positive squares in only one way, i.e., 101606400 + 6718464 = 10080^2 + 2592^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165562 + ... + 166214.

Almost surely, 2^108324864 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 108324864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162026865).

108324864 is an abundant number, since it is smaller than the sum of its proper divisors (215728866).

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

108324864 is an frugal number, since it uses more digits than its factorization.

108324864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 108324864 is about 10407.9231357654. The cubic root of 108324864 is about 476.6973278618.

The spelling of 108324864 in words is "one hundred eight million, three hundred twenty-four thousand, eight hundred sixty-four".