10120947625 has 32 divisors (see below), whose sum is σ = 13274262144. Its totient is φ = 7694568000.

The previous prime is 10120947559. The next prime is 10120947643. The reversal of 10120947625 is 52674902101.

10120947625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10120947625 - 2¹⁹ = 10120423337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian 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, 173430 + ... + 224320.

It is an arithmetic number, because the mean of its divisors is an integer number (414820692).

Almost surely, 2^10120947625 is an apocalyptic number.

It is an amenable number.

10120947625 is a deficient number, since it is larger than the sum of its proper divisors (3153314519).

10120947625 is an equidigital number, since it uses as much as digits as its factorization.

10120947625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50986 (or 50976 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 10120947625 in words is "ten billion, one hundred twenty million, nine hundred forty-seven thousand, six hundred twenty-five".