109880 has 32 divisors (see below), whose sum is σ = 257040. Its totient is φ = 42240.

The previous prime is 109873. The next prime is 109883. The reversal of 109880 is 88901.

It is a super-2 number, since 2×109880² = 24147228800, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1607 + ... + 1673.

2¹⁰⁹⁸⁸⁰ is an apocalyptic number.

109880 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 109880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128520).

109880 is an abundant number, since it is smaller than the sum of its proper divisors (147160).

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

109880 is a wasteful number, since it uses less digits than its factorization.

109880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 109880 is about 331.4815228636. The cubic root of 109880 is about 47.8967688861.

It can be divided in two parts, 109 and 880, that added together give a palindrome (989).

The spelling of 109880 in words is "one hundred nine thousand, eight hundred eighty".