96900595316100 has 81 divisors (see below), whose sum is σ = 303730458300997. Its totient is φ = 25840080000480.

The previous prime is 96900595316093. The next prime is 96900595316111. The reversal of 96900595316100 is 161359500969.

It is a happy number.

The square root of 96900595316100 is 9843810.

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

96900595316100 is a `hidden beast` number, since 9 + 6 + 9 + 0 + 0 + 595 + 31 + 6 + 10 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34884214313796 + 62016381002304 = 5906286^2 + 7875048^2 .

It is a super-2 number, since 2×96900595316100² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 295150237 + ... + 295478363.

Almost surely, 2^{96900595316100} is an apocalyptic number.

96900595316100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

96900595316100 is the 9843810-th square number.

It is an amenable number.

96900595316100 is an abundant number, since it is smaller than the sum of its proper divisors (206829862984897).

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

96900595316100 is an frugal number, since it uses more digits than its factorization.

96900595316100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656274 (or 328137 counting only the distinct ones).

The product of its (nonzero) digits is 1968300, while the sum is 54.

The spelling of 96900595316100 in words is "ninety-six trillion, nine hundred billion, five hundred ninety-five million, three hundred sixteen thousand, one hundred".