112805641 has 27 divisors (see below), whose sum is σ = 131985639. Its totient is φ = 96353712.

The previous prime is 112805633. The next prime is 112805669. The reversal of 112805641 is 146508211.

The square root of 112805641 is 10621.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16687225 + 96118416 = 4085^2 + 9804^2 .

It is not a de Polignac number, because 112805641 - 2³ = 112805633 is a prime.

It is a super-2 number, since 2×112805641² = 25450225282841762, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112805681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2623366 + ... + 2623408.

It is an arithmetic number, because the mean of its divisors is an integer number (4888357).

Almost surely, 2^112805641 is an apocalyptic number.

112805641 is the 10621-st square number.

112805641 is the 5311-st centered octagonal number.

It is an amenable number.

112805641 is a deficient number, since it is larger than the sum of its proper divisors (19179998).

112805641 is an equidigital number, since it uses as much as digits as its factorization.

112805641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The cubic root of 112805641 is about 483.1814720160.

The spelling of 112805641 in words is "one hundred twelve million, eight hundred five thousand, six hundred forty-one".