108832320 has 336 divisors, whose sum is σ = 410821632. Its totient is φ = 26357760.

The previous prime is 108832313. The next prime is 108832333. The reversal of 108832320 is 23238801.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2053414 + ... + 2053466.

Almost surely, 2^108832320 is an apocalyptic number.

108832320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205410816).

108832320 is an abundant number, since it is smaller than the sum of its proper divisors (301989312).

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

108832320 is a wasteful number, since it uses less digits than its factorization.

108832320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 108832320 is about 10432.2730025628. The cubic root of 108832320 is about 477.4405433860.

It can be divided in two parts, 10883 and 2320, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 108832320 in words is "one hundred eight million, eight hundred thirty-two thousand, three hundred twenty".