108321824 has 96 divisors (see below), whose sum is σ = 248618160. Its totient is φ = 46166016.

The previous prime is 108321791. The next prime is 108321827. The reversal of 108321824 is 428123801.

It can be written as a sum of positive squares in 8 ways, for example, as 50865424 + 57456400 = 7132^2 + 7580^2 .

It is not an unprimeable number, because it can be changed into a prime (108321827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2043782 + ... + 2043834.

Almost surely, 2^108321824 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 108321824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124309080).

108321824 is an abundant number, since it is smaller than the sum of its proper divisors (140296336).

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

108321824 is an equidigital number, since it uses as much as digits as its factorization.

108321824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 108321824 is about 10407.7770921557. Note that the first 3 decimals coincide. The cubic root of 108321824 is about 476.6928685180.

The spelling of 108321824 in words is "one hundred eight million, three hundred twenty-one thousand, eight hundred twenty-four".