112055601105 has 72 divisors (see below), whose sum is σ = 229895669952. Its totient is φ = 49458907008.

The previous prime is 112055601067. The next prime is 112055601109. The reversal of 112055601105 is 501106550211.

112055601105 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 55 + 601 + 1 + 0 + 5 = 666.

It is not a de Polignac number, because 112055601105 - 2⁸ = 112055600849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112055601109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53422 + ... + 476408.

It is an arithmetic number, because the mean of its divisors is an integer number (3192995416).

Almost surely, 2^112055601105 is an apocalyptic number.

112055601105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112055601105 is an abundant number, since it is smaller than the sum of its proper divisors (117840068847).

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

112055601105 is a wasteful number, since it uses less digits than its factorization.

112055601105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423063 (or 423031 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

The spelling of 112055601105 in words is "one hundred twelve billion, fifty-five million, six hundred one thousand, one hundred five".