108931680 has 432 divisors, whose sum is σ = 456530256. Its totient is φ = 23316480.

The previous prime is 108931651. The next prime is 108931681. The reversal of 108931680 is 86139801.

It is a super-2 number, since 2×108931680² = 23732221815244800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108931681) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 4736149 + ... + 4736171.

It is an arithmetic number, because the mean of its divisors is an integer number (1056783).

Almost surely, 2^108931680 is an apocalyptic number.

108931680 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 108931680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228265128).

108931680 is an abundant number, since it is smaller than the sum of its proper divisors (347598576).

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

108931680 is a wasteful number, since it uses less digits than its factorization.

108931680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 108931680 is about 10437.0340614563. The cubic root of 108931680 is about 477.5857945490.

The spelling of 108931680 in words is "one hundred eight million, nine hundred thirty-one thousand, six hundred eighty".