972570716100 has 243 divisors, whose sum is σ = 3098702424909. Its totient is φ = 255147076800.

The previous prime is 972570716069. The next prime is 972570716101. The reversal of 972570716100 is 1617075279.

The square root of 972570716100 is 986190.

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

972570716100 is a `hidden beast` number, since 9 + 7 + 2 + 570 + 71 + 6 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 350125457796 + 622445258304 = 591714^2 + 788952^2 .

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

It is not an unprimeable number, because it can be changed into a prime (972570716101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2100584469 + ... + 2100584931.

Almost surely, 2^972570716100 is an apocalyptic number.

972570716100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

972570716100 is the 986190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972570716100

972570716100 is an abundant number, since it is smaller than the sum of its proper divisors (2126131708809).

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

972570716100 is a wasteful number, since it uses less digits than its factorization.

972570716100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 45.

The spelling of 972570716100 in words is "nine hundred seventy-two billion, five hundred seventy million, seven hundred sixteen thousand, one hundred".