97537536100 has 27 divisors (see below), whose sum is σ = 211663230681. Its totient is φ = 39013765200.

The previous prime is 97537536067. The next prime is 97537536101. The reversal of 97537536100 is 163573579.

The square root of 97537536100 is 312310.

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., 35113512996 + 62424023104 = 187386^2 + 249848^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97537536101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3107485 + ... + 3138715.

Almost surely, 2^97537536100 is an apocalyptic number.

97537536100 is the 312310-th square number.

It is an amenable number.

97537536100 is an abundant number, since it is smaller than the sum of its proper divisors (114125694581).

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

97537536100 is an frugal number, since it uses more digits than its factorization.

97537536100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62476 (or 31238 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 46.

The spelling of 97537536100 in words is "ninety-seven billion, five hundred thirty-seven million, five hundred thirty-six thousand, one hundred".