97600008100 has 81 divisors (see below), whose sum is σ = 246425521377. Its totient is φ = 33455362080.

The previous prime is 97600008059. The next prime is 97600008119. The reversal of 97600008100 is 180000679.

The square root of 97600008100 is 312410.

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., 35136002916 + 62464005184 = 187446^2 + 249928^2 .

It is a super-2 number, since 2×97600008100² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21866469 + ... + 21870931.

Almost surely, 2^97600008100 is an apocalyptic number.

97600008100 is the 312410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97600008100

97600008100 is an abundant number, since it is smaller than the sum of its proper divisors (148825513277).

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

97600008100 is an equidigital number, since it uses as much as digits as its factorization.

97600008100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8954 (or 4477 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

Adding to 97600008100 its reverse (180000679), we get a palindrome (97780008779).

The spelling of 97600008100 in words is "ninety-seven billion, six hundred million, eight thousand, one hundred".