112105958400 has 396 divisors, whose sum is σ = 422534780200. Its totient is φ = 28320399360.

The previous prime is 112105958383. The next prime is 112105958401. The reversal of 112105958400 is 4859501211.

112105958400 is a `hidden beast` number, since 1 + 1 + 21 + 0 + 59 + 584 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112105958401) 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 35 ways as a sum of consecutive naturals, for example, 4364796 + ... + 4390404.

Almost surely, 2^112105958400 is an apocalyptic number.

112105958400 is a gapful number since it is divisible by the number (10) 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 112105958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211267390100).

112105958400 is an abundant number, since it is smaller than the sum of its proper divisors (310428821800).

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

112105958400 is a wasteful number, since it uses less digits than its factorization.

112105958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25664 (or 25638 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 112105958400 in words is "one hundred twelve billion, one hundred five million, nine hundred fifty-eight thousand, four hundred".