108800 has 54 divisors (see below), whose sum is σ = 285138. Its totient is φ = 40960.

The previous prime is 108799. The next prime is 108803. The reversal of 108800 is 8801.

It is a happy number.

108800 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 3 ways, for example, as 16384 + 92416 = 128^2 + 304^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (108803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6392 + ... + 6408.

2¹⁰⁸⁸⁰⁰ is an apocalyptic number.

108800 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 108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142569).

108800 is an abundant number, since it is smaller than the sum of its proper divisors (176338).

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

108800 is an equidigital number, since it uses as much as digits as its factorization.

108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 108800 is about 329.8484500494. The cubic root of 108800 is about 47.7393276771.

Multiplying 108800 by its sum of digits (17), we get a square (1849600 = 1360²).

108800 divided by its sum of digits (17) gives a square (6400 = 80²).

Subtracting from 108800 its reverse (8801), we obtain a palindrome (99999).

The spelling of 108800 in words is "one hundred eight thousand, eight hundred".