111945276 has 72 divisors (see below), whose sum is σ = 292685120. Its totient is φ = 36049536.

The previous prime is 111945271. The next prime is 111945287. The reversal of 111945276 is 672549111.

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

It is a self number, because there is not a number n which added to its sum of digits gives 111945276.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111945271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304845 + ... + 305211.

Almost surely, 2^111945276 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 111945276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146342560).

111945276 is an abundant number, since it is smaller than the sum of its proper divisors (180739844).

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

111945276 is a wasteful number, since it uses less digits than its factorization.

111945276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 638 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 111945276 is about 10580.4194623843. The cubic root of 111945276 is about 481.9499325301.

The spelling of 111945276 in words is "one hundred eleven million, nine hundred forty-five thousand, two hundred seventy-six".