109888 has 28 divisors (see below), whose sum is σ = 233172. Its totient is φ = 51200.

The previous prime is 109883. The next prime is 109891. The reversal of 109888 is 888901.

It can be written as a sum of positive squares in 2 ways, for example, as 97344 + 12544 = 312^2 + 112^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

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 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, 1038 + ... + 1138.

2¹⁰⁹⁸⁸⁸ 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 109888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116586).

109888 is an abundant number, since it is smaller than the sum of its proper divisors (123284).

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

109888 is a wasteful number, since it uses less digits than its factorization.

109888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 34.

The square root of 109888 is about 331.4935896816. The cubic root of 109888 is about 47.8979312597.

The spelling of 109888 in words is "one hundred nine thousand, eight hundred eighty-eight".