97620130484100 has 405 divisors, whose sum is σ = 368134006748277. Its totient is φ = 22311749920320.

The previous prime is 97620130484077. The next prime is 97620130484117. The reversal of 97620130484100 is 148403102679.

The square root of 97620130484100 is 9880290.

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

97620130484100 is a `hidden beast` number, since 9 + 7 + 6 + 20 + 130 + 484 + 10 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35143246974276 + 62476883509824 = 5928174^2 + 7904232^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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 134 ways as a sum of consecutive naturals, for example, 6224574859 + ... + 6224590541.

Almost surely, 2^{97620130484100} is an apocalyptic number.

97620130484100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

97620130484100 is the 9880290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97620130484100

97620130484100 is an abundant number, since it is smaller than the sum of its proper divisors (270513876264177).

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

97620130484100 is an equidigital number, since it uses as much as digits as its factorization.

97620130484100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31406 (or 15700 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

Adding to 97620130484100 its reverse (148403102679), we get a palindrome (97768533586779).

The spelling of 97620130484100 in words is "ninety-seven trillion, six hundred twenty billion, one hundred thirty million, four hundred eighty-four thousand, one hundred".