112106925 has 144 divisors (see below), whose sum is σ = 250698240. Its totient is φ = 46725120.

The previous prime is 112106893. The next prime is 112106927. The reversal of 112106925 is 529601211.

112106925 = 145² + 146² + ... + 697².

It is not a de Polignac number, because 112106925 - 2⁵ = 112106893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112106927) 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 143 ways as a sum of consecutive naturals, for example, 1419036 + ... + 1419114.

It is an arithmetic number, because the mean of its divisors is an integer number (1740960).

Almost surely, 2^112106925 is an apocalyptic number.

112106925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112106925 is an abundant number, since it is smaller than the sum of its proper divisors (138591315).

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

112106925 is a wasteful number, since it uses less digits than its factorization.

112106925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 112106925 is about 10588.0557705369. The cubic root of 112106925 is about 482.1817995588.

The spelling of 112106925 in words is "one hundred twelve million, one hundred six thousand, nine hundred twenty-five".