97475084100 has 135 divisors (see below), whose sum is σ = 316066825767. Its totient is φ = 25985862720.

The previous prime is 97475084087. The next prime is 97475084123. The reversal of 97475084100 is 148057479.

It is a happy number.

The square root of 97475084100 is 312210.

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

97475084100 is a `hidden beast` number, since 97 + 47 + 508 + 4 + 10 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46167397956 + 51307686144 = 214866^2 + 226512^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 28097166 + ... + 28100634.

Almost surely, 2^97475084100 is an apocalyptic number.

97475084100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

97475084100 is the 312210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97475084100

97475084100 is an abundant number, since it is smaller than the sum of its proper divisors (218591741667).

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

97475084100 is an equidigital number, since it uses as much as digits as its factorization.

97475084100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6964 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 97475084100 in words is "ninety-seven billion, four hundred seventy-five million, eighty-four thousand, one hundred".