9917523624100 has 81 divisors (see below), whose sum is σ = 22061604088713. Its totient is φ = 3869749248000.

The previous prime is 9917523624097. The next prime is 9917523624137. The reversal of 9917523624100 is 14263257199.

The square root of 9917523624100 is 3149210.

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

It can be written as a sum of positive squares in 13 ways, for example, as 9126718934116 + 790804689984 = 3021046^2 + 889272^2 .

It is a Duffinian number.

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, 1291172260 + ... + 1291179940.

Almost surely, 2^{9917523624100} is an apocalyptic number.

9917523624100 is the 3149210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9917523624100

9917523624100 is an abundant number, since it is smaller than the sum of its proper divisors (12144080464613).

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

9917523624100 is an frugal number, since it uses more digits than its factorization.

9917523624100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15458 (or 7729 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

Multiplying 9917523624100 by its sum of digits (49), we get a square (485958657580900 = 22044470²).

The spelling of 9917523624100 in words is "nine trillion, nine hundred seventeen billion, five hundred twenty-three million, six hundred twenty-four thousand, one hundred".