112705757021 has 64 divisors (see below), whose sum is σ = 144229268736. Its totient is φ = 86491238400.

The previous prime is 112705757009. The next prime is 112705757027. The reversal of 112705757021 is 120757507211.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 112705757021 - 2¹⁰ = 112705755997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112705757027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12303575 + ... + 12312731.

It is an arithmetic number, because the mean of its divisors is an integer number (2253582324).

Almost surely, 2^112705757021 is an apocalyptic number.

112705757021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112705757021 is a deficient number, since it is larger than the sum of its proper divisors (31523511715).

112705757021 is a wasteful number, since it uses less digits than its factorization.

112705757021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9342.

The product of its (nonzero) digits is 34300, while the sum is 38.

The spelling of 112705757021 in words is "one hundred twelve billion, seven hundred five million, seven hundred fifty-seven thousand, twenty-one".