112359936 has 160 divisors (see below), whose sum is σ = 342353088. Its totient is φ = 32440320.

The previous prime is 112359931. The next prime is 112359979. The reversal of 112359936 is 639953211.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 112359894 and 112359903.

It is not an unprimeable number, because it can be changed into a prime (112359931) 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, 339291 + ... + 339621.

Almost surely, 2^112359936 is an apocalyptic number.

112359936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112359936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171176544).

112359936 is an abundant number, since it is smaller than the sum of its proper divisors (229993152).

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

112359936 is a wasteful number, since it uses less digits than its factorization.

112359936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 366 counting only the distinct ones).

The product of its digits is 43740, while the sum is 39.

The square root of 112359936 is about 10599.9969811316. The cubic root of 112359936 is about 482.5442679099.

The spelling of 112359936 in words is "one hundred twelve million, three hundred fifty-nine thousand, nine hundred thirty-six".