112164936 has 64 divisors (see below), whose sum is σ = 308448000. Its totient is φ = 33773568.

The previous prime is 112164931. The next prime is 112164937. The reversal of 112164936 is 639461211.

It is a junction number, because it is equal to n+sod(n) for n = 112164897 and 112164906.

It is not an unprimeable number, because it can be changed into a prime (112164931) 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 15 ways as a sum of consecutive naturals, for example, 10840 + ... + 18488.

It is an arithmetic number, because the mean of its divisors is an integer number (4819500).

Almost surely, 2^112164936 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 112164936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154224000).

112164936 is an abundant number, since it is smaller than the sum of its proper divisors (196283064).

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

112164936 is a wasteful number, since it uses less digits than its factorization.

112164936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7718 (or 7714 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 112164936 is about 10590.7948710189. The cubic root of 112164936 is about 482.2649553644.

The spelling of 112164936 in words is "one hundred twelve million, one hundred sixty-four thousand, nine hundred thirty-six".