108880 has 20 divisors (see below), whose sum is σ = 253332. Its totient is φ = 43520.

The previous prime is 108877. The next prime is 108881. The reversal of 108880 is 88801.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 28224 + 80656 = 168^2 + 284^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 601 + ... + 760.

2¹⁰⁸⁸⁸⁰ is an apocalyptic number.

108880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

108880 is an abundant number, since it is smaller than the sum of its proper divisors (144452).

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

108880 is a wasteful number, since it uses less digits than its factorization.

108880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

The square root of 108880 is about 329.9696955782. The cubic root of 108880 is about 47.7510256260.

The spelling of 108880 in words is "one hundred eight thousand, eight hundred eighty".