97110140625 has 105 divisors (see below), whose sum is σ = 181986869757. Its totient is φ = 51605100000.

The previous prime is 97110140531. The next prime is 97110140629. The reversal of 97110140625 is 52604101179.

The square root of 97110140625 is 311625.

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

97110140625 is a `hidden beast` number, since 9 + 7 + 1 + 10 + 14 + 0 + 625 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 48791066769 + 48319073856 = 220887^2 + 219816^2 .

It is not a de Polignac number, because 97110140625 - 2⁷ = 97110140497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 97110140625.

It is not an unprimeable number, because it can be changed into a prime (97110140629) by changing a digit.

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 104 ways as a sum of consecutive naturals, for example, 350577987 + ... + 350578263.

Almost surely, 2^97110140625 is an apocalyptic number.

97110140625 is the 311625-th square number.

97110140625 is the 155813-rd centered octagonal number.

It is an amenable number.

97110140625 is a deficient number, since it is larger than the sum of its proper divisors (84876729132).

97110140625 is an frugal number, since it uses more digits than its factorization.

97110140625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Multiplying 97110140625 by its sum of digits (36), we get a square (3495965062500 = 1869750²).

The spelling of 97110140625 in words is "ninety-seven billion, one hundred ten million, one hundred forty thousand, six hundred twenty-five".