101392625 has 16 divisors (see below), whose sum is σ = 132043392. Its totient is φ = 77585200.

The previous prime is 101392619. The next prime is 101392637. The reversal of 101392625 is 526293101.

It is not a de Polignac number, because 101392625 - 2¹⁰ = 101391601 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14759 + ... + 20508.

It is an arithmetic number, because the mean of its divisors is an integer number (8252712).

Almost surely, 2^101392625 is an apocalyptic number.

It is an amenable number.

101392625 is a deficient number, since it is larger than the sum of its proper divisors (30650767).

101392625 is an equidigital number, since it uses as much as digits as its factorization.

101392625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35305 (or 35295 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 101392625 is about 10069.3904979398. The cubic root of 101392625 is about 466.3036221202.

The spelling of 101392625 in words is "one hundred one million, three hundred ninety-two thousand, six hundred twenty-five".