101056125 has 32 divisors (see below), whose sum is σ = 173601792. Its totient is φ = 52152000.

The previous prime is 101056093. The next prime is 101056133. The reversal of 101056125 is 521650101.

It is not a de Polignac number, because 101056125 - 2⁵ = 101056093 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7279 + ... + 15971.

It is an arithmetic number, because the mean of its divisors is an integer number (5425056).

Almost surely, 2^101056125 is an apocalyptic number.

101056125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101056125 is a deficient number, since it is larger than the sum of its proper divisors (72545667).

101056125 is an equidigital number, since it uses as much as digits as its factorization.

101056125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8742 (or 8732 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 101056125 is about 10052.6675564250. The cubic root of 101056125 is about 465.7871970704.

The spelling of 101056125 in words is "one hundred one million, fifty-six thousand, one hundred twenty-five".