112964116 has 12 divisors (see below), whose sum is σ = 209315988. Its totient is φ = 53159552.

The previous prime is 112964113. The next prime is 112964161. The reversal of 112964116 is 611469211.

It can be written as a sum of positive squares in 2 ways, for example, as 94867600 + 18096516 = 9740^2 + 4254^2 .

It is a super-2 number, since 2×112964116² = 25521783007322912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112964113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 830551 + ... + 830686.

It is an arithmetic number, because the mean of its divisors is an integer number (17442999).

Almost surely, 2^112964116 is an apocalyptic number.

It is an amenable number.

112964116 is a deficient number, since it is larger than the sum of its proper divisors (96351872).

112964116 is a wasteful number, since it uses less digits than its factorization.

112964116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661258 (or 1661256 counting only the distinct ones).

The product of its digits is 2592, while the sum is 31.

The square root of 112964116 is about 10628.4578373346. The cubic root of 112964116 is about 483.4076319656.

The spelling of 112964116 in words is "one hundred twelve million, nine hundred sixty-four thousand, one hundred sixteen".