108058800 has 120 divisors (see below), whose sum is σ = 366579216. Its totient is φ = 27115520.

The previous prime is 108058793. The next prime is 108058801. The reversal of 108058800 is 8850801.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (108058801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17752 + ... + 23048.

Almost surely, 2^108058800 is an apocalyptic number.

108058800 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 108058800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183289608).

108058800 is an abundant number, since it is smaller than the sum of its proper divisors (258520416).

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

108058800 is a wasteful number, since it uses less digits than its factorization.

108058800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5335 (or 5324 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 108058800 is about 10395.1334767765. The cubic root of 108058800 is about 476.3067250790.

The spelling of 108058800 in words is "one hundred eight million, fifty-eight thousand, eight hundred".