97117280136100 has 243 divisors, whose sum is σ = 256315834867491. Its totient is φ = 31844438841600.

The previous prime is 97117280136017. The next prime is 97117280136131. The reversal of 97117280136100 is 163108271179.

The square root of 97117280136100 is 9854810.

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

It can be written as a sum of positive squares in 4 ways, for example, as 29357909870436 + 67759370265664 = 5418294^2 + 8231608^2 .

It is a super-2 number, since 2×97117280136100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 15866241040 + ... + 15866247160.

Almost surely, 2^{97117280136100} is an apocalyptic number.

97117280136100 is the 9854810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97117280136100

97117280136100 is an abundant number, since it is smaller than the sum of its proper divisors (159198554731391).

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

97117280136100 is an equidigital number, since it uses as much as digits as its factorization.

97117280136100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12316 (or 6158 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 46.

The spelling of 97117280136100 in words is "ninety-seven trillion, one hundred seventeen billion, two hundred eighty million, one hundred thirty-six thousand, one hundred".