112105963872 has 192 divisors, whose sum is σ = 393354662400. Its totient is φ = 30344440320.

The previous prime is 112105963861. The next prime is 112105963883. The reversal of 112105963872 is 278369501211.

112105963872 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 0 + 5 + 9 + 638 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (112105963861) and next prime (112105963883).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372879 + ... + 602702.

It is an arithmetic number, because the mean of its divisors is an integer number (2048722200).

Almost surely, 2^112105963872 is an apocalyptic number.

112105963872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112105963872 is an abundant number, since it is smaller than the sum of its proper divisors (281248698528).

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

112105963872 is a wasteful number, since it uses less digits than its factorization.

112105963872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975626 (or 975612 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 112105963872 in words is "one hundred twelve billion, one hundred five million, nine hundred sixty-three thousand, eight hundred seventy-two".