112966113 has 16 divisors (see below), whose sum is σ = 164433920. Its totient is φ = 68563584.

The previous prime is 112966097. The next prime is 112966141. The reversal of 112966113 is 311669211.

It is not a de Polignac number, because 112966113 - 2⁴ = 112966097 is a prime.

It is a super-2 number, since 2×112966113² = 25522685372657538, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112966013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16993 + ... + 22686.

It is an arithmetic number, because the mean of its divisors is an integer number (10277120).

Almost surely, 2^112966113 is an apocalyptic number.

112966113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

112966113 is a deficient number, since it is larger than the sum of its proper divisors (51467807).

112966113 is a wasteful number, since it uses less digits than its factorization.

112966113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39768.

The product of its digits is 1944, while the sum is 30.

The square root of 112966113 is about 10628.5517828159. The cubic root of 112966113 is about 483.4104805379.

The spelling of 112966113 in words is "one hundred twelve million, nine hundred sixty-six thousand, one hundred thirteen".