108893824 has 64 divisors (see below), whose sum is σ = 241274880. Its totient is φ = 48614400.

The previous prime is 108893809. The next prime is 108893833. The reversal of 108893824 is 428398801.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50529 + ... + 52639.

It is an arithmetic number, because the mean of its divisors is an integer number (3769920).

Almost surely, 2^108893824 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 108893824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120637440).

108893824 is an abundant number, since it is smaller than the sum of its proper divisors (132381056).

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

108893824 is a wasteful number, since it uses less digits than its factorization.

108893824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 108893824 is about 10435.2203618323. The cubic root of 108893824 is about 477.5304645092.

The spelling of 108893824 in words is "one hundred eight million, eight hundred ninety-three thousand, eight hundred twenty-four".