111961164 has 96 divisors (see below), whose sum is σ = 309084160. Its totient is φ = 30881088.

The previous prime is 111961163. The next prime is 111961177. The reversal of 111961164 is 461169111.

It is not an unprimeable number, because it can be changed into a prime (111961163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501957 + ... + 502179.

Almost surely, 2^111961164 is an apocalyptic number.

111961164 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 111961164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154542080).

111961164 is an abundant number, since it is smaller than the sum of its proper divisors (197122996).

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

111961164 is a wasteful number, since it uses less digits than its factorization.

111961164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 417 counting only the distinct ones).

The product of its digits is 1296, while the sum is 30.

The square root of 111961164 is about 10581.1702566399. The cubic root of 111961164 is about 481.9727319388.

The spelling of 111961164 in words is "one hundred eleven million, nine hundred sixty-one thousand, one hundred sixty-four".