111980564 has 36 divisors (see below), whose sum is σ = 209836956. Its totient is φ = 52276224.

The previous prime is 111980551. The next prime is 111980569. The reversal of 111980564 is 465089111.

111980564 = T₂₅₅ + T₂₅₆ + ... + T₈₈₂.

It can be written as a sum of positive squares in 6 ways, for example, as 1562500 + 110418064 = 1250^2 + 10508^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111980569) 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 11 ways as a sum of consecutive naturals, for example, 181184 + ... + 181800.

Almost surely, 2^111980564 is an apocalyptic number.

It is an amenable number.

111980564 is a deficient number, since it is larger than the sum of its proper divisors (97856392).

111980564 is a wasteful number, since it uses less digits than its factorization.

111980564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 35.

The square root of 111980564 is about 10582.0869397298. The cubic root of 111980564 is about 482.0005681714. Note that the first 3 decimals are identical.

The spelling of 111980564 in words is "one hundred eleven million, nine hundred eighty thousand, five hundred sixty-four".