111164872 has 64 divisors (see below), whose sum is σ = 263531520. Its totient is φ = 42778368.

The previous prime is 111164863. The next prime is 111164873. The reversal of 111164872 is 278461111.

It is not an unprimeable number, because it can be changed into a prime (111164873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24873 + ... + 28999.

It is an arithmetic number, because the mean of its divisors is an integer number (4117680).

Almost surely, 2^111164872 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 111164872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131765760).

111164872 is an abundant number, since it is smaller than the sum of its proper divisors (152366648).

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

111164872 is a wasteful number, since it uses less digits than its factorization.

111164872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4190 (or 4186 counting only the distinct ones).

The product of its digits is 2688, while the sum is 31.

The square root of 111164872 is about 10543.4753283725. The cubic root of 111164872 is about 480.8273808861.

The spelling of 111164872 in words is "one hundred eleven million, one hundred sixty-four thousand, eight hundred seventy-two".