108832 has 24 divisors (see below), whose sum is σ = 226800. Its totient is φ = 51264.

The previous prime is 108827. The next prime is 108863. The reversal of 108832 is 238801.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 519 + ... + 697.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2¹⁰⁸⁸³² 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 108832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113400).

108832 is an abundant number, since it is smaller than the sum of its proper divisors (117968).

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

108832 is a wasteful number, since it uses less digits than its factorization.

108832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 108832 is about 329.8969536082. The cubic root of 108832 is about 47.7440075446.

The spelling of 108832 in words is "one hundred eight thousand, eight hundred thirty-two".