106853925 has 48 divisors (see below), whose sum is σ = 191505600. Its totient is φ = 52362240.

The previous prime is 106853921. The next prime is 106853927. The reversal of 106853925 is 529358601.

It is not a de Polignac number, because 106853925 - 2² = 106853921 is a prime.

It is a super-2 number, since 2×106853925² = 22835522575811250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106853921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53851 + ... + 55799.

It is an arithmetic number, because the mean of its divisors is an integer number (3989700).

Almost surely, 2^106853925 is an apocalyptic number.

106853925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106853925 is a deficient number, since it is larger than the sum of its proper divisors (84651675).

106853925 is a wasteful number, since it uses less digits than its factorization.

106853925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 106853925 is about 10337.0172196819. The cubic root of 106853925 is about 474.5298024847.

The spelling of 106853925 in words is "one hundred six million, eight hundred fifty-three thousand, nine hundred twenty-five".