101056625 has 16 divisors (see below), whose sum is σ = 127292880. Its totient is φ = 80092800.

The previous prime is 101056607. The next prime is 101056633. The reversal of 101056625 is 526650101.

It can be written as a sum of positive squares in 8 ways, for example, as 10863616 + 90193009 = 3296^2 + 9497^2 .

It is not a de Polignac number, because 101056625 - 2¹⁰ = 101055601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101056594 and 101056603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9917 + ... + 17333.

It is an arithmetic number, because the mean of its divisors is an integer number (7955805).

Almost surely, 2^101056625 is an apocalyptic number.

It is an amenable number.

101056625 is a deficient number, since it is larger than the sum of its proper divisors (26236255).

101056625 is an equidigital number, since it uses as much as digits as its factorization.

101056625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7541 (or 7531 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 101056625 is about 10052.6924254152. The cubic root of 101056625 is about 465.7879652680.

The spelling of 101056625 in words is "one hundred one million, fifty-six thousand, six hundred twenty-five".