96721520784100 has 243 divisors, whose sum is σ = 217269855669321. Its totient is φ = 37373471553600.

The previous prime is 96721520784089. The next prime is 96721520784127. The reversal of 96721520784100 is 148702512769.

The square root of 96721520784100 is 9834710.

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., 34819747482276 + 61901773301824 = 5900826^2 + 7867768^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 458395832995 + ... + 458395833205.

Almost surely, 2^{96721520784100} is an apocalyptic number.

96721520784100 is the 9834710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96721520784100

96721520784100 is an abundant number, since it is smaller than the sum of its proper divisors (120548334885221).

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

96721520784100 is an equidigital number, since it uses as much as digits as its factorization.

96721520784100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 52.

The spelling of 96721520784100 in words is "ninety-six trillion, seven hundred twenty-one billion, five hundred twenty million, seven hundred eighty-four thousand, one hundred".