97679421224100 has 243 divisors, whose sum is σ = 325256959741987. Its totient is φ = 24514354383360.

The previous prime is 97679421224089. The next prime is 97679421224131. The reversal of 97679421224100 is 142212497679.

The square root of 97679421224100 is 9883290.

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

97679421224100 is a `hidden beast` number, since 9 + 7 + 6 + 7 + 9 + 4 + 212 + 2 + 410 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2284819679844 + 95394601544256 = 1511562^2 + 9767016^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5040468211 + ... + 5040487589.

Almost surely, 2^{97679421224100} is an apocalyptic number.

97679421224100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

97679421224100 is the 9883290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97679421224100

97679421224100 is an abundant number, since it is smaller than the sum of its proper divisors (227577538517887).

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

97679421224100 is a wasteful number, since it uses less digits than its factorization.

97679421224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38812 (or 19406 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 97679421224100 in words is "ninety-seven trillion, six hundred seventy-nine billion, four hundred twenty-one million, two hundred twenty-four thousand, one hundred".