108538400 has 72 divisors (see below), whose sum is σ = 266639184. Its totient is φ = 43142400.

The previous prime is 108538379. The next prime is 108538411. The reversal of 108538400 is 4835801.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168479 + ... + 169121.

It is an arithmetic number, because the mean of its divisors is an integer number (3703322).

Almost surely, 2^108538400 is an apocalyptic number.

108538400 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 108538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133319592).

108538400 is an abundant number, since it is smaller than the sum of its proper divisors (158100784).

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

108538400 is a wasteful number, since it uses less digits than its factorization.

108538400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 108538400 is about 10418.1764239237. The cubic root of 108538400 is about 477.0103530343.

The spelling of 108538400 in words is "one hundred eight million, five hundred thirty-eight thousand, four hundred".