109088 has 24 divisors (see below), whose sum is σ = 245952. Its totient is φ = 46656.

The previous prime is 109073. The next prime is 109097. The reversal of 109088 is 880901.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20 + ... + 467.

It is an arithmetic number, because the mean of its divisors is an integer number (10248).

2¹⁰⁹⁰⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122976).

109088 is an abundant number, since it is smaller than the sum of its proper divisors (136864).

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

109088 is an equidigital number, since it uses as much as digits as its factorization.

109088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 496 counting only the distinct ones).

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

The square root of 109088 is about 330.2847256535. The cubic root of 109088 is about 47.7814135005.

Adding to 109088 its reverse (880901), we get a palindrome (989989).

The spelling of 109088 in words is "one hundred nine thousand, eighty-eight".