97100792100 has 729 divisors, whose sum is σ = 357704258457. Its totient is φ = 22017116160.

The previous prime is 97100792059. The next prime is 97100792137. The reversal of 97100792100 is 129700179.

The square root of 97100792100 is 311610.

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

It can be written as a sum of positive squares in 13 ways, for example, as 70716637476 + 26384154624 = 265926^2 + 162432^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2065974277 + ... + 2065974323.

Almost surely, 2^97100792100 is an apocalyptic number.

97100792100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

97100792100 is the 311610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97100792100

97100792100 is an abundant number, since it is smaller than the sum of its proper divisors (260603466357).

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

97100792100 is a wasteful number, since it uses less digits than its factorization.

97100792100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

Multiplying 97100792100 by its sum of digits (36), we get a square (3495628515600 = 1869660²).

97100792100 divided by its sum of digits (36) gives a square (2697244225 = 51935²).

It can be divided in two parts, 9710079 and 2100, that added together give a palindrome (9712179).

The spelling of 97100792100 in words is "ninety-seven billion, one hundred million, seven hundred ninety-two thousand, one hundred".