111164564 has 48 divisors (see below), whose sum is σ = 236396160. Its totient is φ = 44651520.

The previous prime is 111164561. The next prime is 111164587. The reversal of 111164564 is 465461111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111164561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194399 + ... + 194969.

It is an arithmetic number, because the mean of its divisors is an integer number (4924920).

Almost surely, 2^111164564 is an apocalyptic number.

111164564 is a gapful number since it is divisible by the number (14) 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 111164564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118198080).

111164564 is an abundant number, since it is smaller than the sum of its proper divisors (125231596).

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

111164564 is a wasteful number, since it uses less digits than its factorization.

111164564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1006 counting only the distinct ones).

The product of its digits is 2880, while the sum is 29.

The square root of 111164564 is about 10543.4607221728. The cubic root of 111164564 is about 480.8269368160.

The spelling of 111164564 in words is "one hundred eleven million, one hundred sixty-four thousand, five hundred sixty-four".