112107534336 has 864 divisors, whose sum is σ = 407822688000. Its totient is φ = 29485596672.

The previous prime is 112107534281. The next prime is 112107534349. The reversal of 112107534336 is 633435701211.

112107534336 is a `hidden beast` number, since 1 + 1 + 210 + 7 + 5 + 3 + 433 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 112107534336.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 806528955 + ... + 806529093.

It is an arithmetic number, because the mean of its divisors is an integer number (472017000).

Almost surely, 2^112107534336 is an apocalyptic number.

112107534336 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 112107534336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203911344000).

112107534336 is an abundant number, since it is smaller than the sum of its proper divisors (295715153664).

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

112107534336 is a wasteful number, since it uses less digits than its factorization.

112107534336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 112107534336 in words is "one hundred twelve billion, one hundred seven million, five hundred thirty-four thousand, three hundred thirty-six".