108432800 has 216 divisors, whose sum is σ = 326166624. Its totient is φ = 34467840.

The previous prime is 108432781. The next prime is 108432803. The reversal of 108432800 is 8234801.

It is a self number, because there is not a number n which added to its sum of digits gives 108432800.

It is not an unprimeable number, because it can be changed into a prime (108432803) 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 35 ways as a sum of consecutive naturals, for example, 1618367 + ... + 1618433.

Almost surely, 2^108432800 is an apocalyptic number.

108432800 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 108432800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163083312).

108432800 is an abundant number, since it is smaller than the sum of its proper divisors (217733824).

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

108432800 is a wasteful number, since it uses less digits than its factorization.

108432800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 108432800 is about 10413.1071251572. The cubic root of 108432800 is about 476.8556039983.

The spelling of 108432800 in words is "one hundred eight million, four hundred thirty-two thousand, eight hundred".