10197970225 has 27 divisors (see below), whose sum is σ = 13358630763. Its totient is φ = 7721717040.

The previous prime is 10197970169. The next prime is 10197970261. The reversal of 10197970225 is 52207979101.

The square root of 10197970225 is 100985.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3671269281 + 6526700944 = 60591^2 + 80788^2 .

It is not a de Polignac number, because 10197970225 - 2²¹ = 10195873073 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 (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9593044 + ... + 9594106.

Almost surely, 2^10197970225 is an apocalyptic number.

10197970225 is the 100985-th square number.

10197970225 is the 50493-rd centered octagonal number.

It is an amenable number.

10197970225 is a deficient number, since it is larger than the sum of its proper divisors (3160660538).

10197970225 is an frugal number, since it uses more digits than its factorization.

10197970225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 43.

The spelling of 10197970225 in words is "ten billion, one hundred ninety-seven million, nine hundred seventy thousand, two hundred twenty-five".