108921600 has 324 divisors, whose sum is σ = 408571072. Its totient is φ = 27648000.

The previous prime is 108921577. The next prime is 108921619. The reversal of 108921600 is 6129801.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1785570 + ... + 1785630.

Almost surely, 2^108921600 is an apocalyptic number.

108921600 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 108921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204285536).

108921600 is an abundant number, since it is smaller than the sum of its proper divisors (299649472).

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

108921600 is a wasteful number, since it uses less digits than its factorization.

108921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 108921600 is about 10436.5511544763. The cubic root of 108921600 is about 477.5710629505.

The spelling of 108921600 in words is "one hundred eight million, nine hundred twenty-one thousand, six hundred".