108316800 has 144 divisors (see below), whose sum is σ = 386601930. Its totient is φ = 28876800.

The previous prime is 108316783. The next prime is 108316847. The reversal of 108316800 is 8613801.

It can be written as a sum of positive squares in 3 ways, for example, as 77580864 + 30735936 = 8808^2 + 5544^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 17 ways as a sum of consecutive naturals, for example, 26920 + ... + 30680.

Almost surely, 2^108316800 is an apocalyptic number.

108316800 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 108316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193300965).

108316800 is an abundant number, since it is smaller than the sum of its proper divisors (278285130).

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

108316800 is a wasteful number, since it uses less digits than its factorization.

108316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3791 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 108316800 is about 10407.5357313823. The cubic root of 108316800 is about 476.6854986827.

The spelling of 108316800 in words is "one hundred eight million, three hundred sixteen thousand, eight hundred".