110089872 has 120 divisors (see below), whose sum is σ = 319021248. Its totient is φ = 35424000.

The previous prime is 110089867. The next prime is 110089873. The reversal of 110089872 is 278980011.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (110089873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 728997 + ... + 729147.

Almost surely, 2^110089872 is an apocalyptic number.

110089872 is a gapful number since it is divisible by the number (12) 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 110089872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159510624).

110089872 is an abundant number, since it is smaller than the sum of its proper divisors (208931376).

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

110089872 is a wasteful number, since it uses less digits than its factorization.

110089872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 110089872 is about 10492.3720864255. The cubic root of 110089872 is about 479.2724394230.

The spelling of 110089872 in words is "one hundred ten million, eighty-nine thousand, eight hundred seventy-two".