97897258124100 has 54 divisors (see below), whose sum is σ = 306853516856250. Its totient is φ = 26105935499520.

The previous prime is 97897258124069. The next prime is 97897258124153. The reversal of 97897258124100 is 142185279879.

97897258124100 is a `hidden beast` number, since 9 + 7 + 8 + 9 + 7 + 2 + 581 + 2 + 41 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 9668020110336 + 88229238013764 = 3109344^2 + 9393042^2 .

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 54387364725 + ... + 54387366524.

It is an arithmetic number, because the mean of its divisors is an integer number (5682472534375).

Almost surely, 2^{97897258124100} is an apocalyptic number.

97897258124100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97897258124100 is an abundant number, since it is smaller than the sum of its proper divisors (208956258732150).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97897258124100 is a wasteful number, since it uses less digits than its factorization.

97897258124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108774731269 (or 108774731259 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 97897258124100 in words is "ninety-seven trillion, eight hundred ninety-seven billion, two hundred fifty-eight million, one hundred twenty-four thousand, one hundred".