9904175468100 has 243 divisors, whose sum is σ = 32459631974679. Its totient is φ = 2525728550400.

The previous prime is 9904175468069. The next prime is 9904175468119. The reversal of 9904175468100 is 18645714099.

The square root of 9904175468100 is 3147090.

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

9904175468100 is a `hidden beast` number, since 9 + 9 + 0 + 4 + 1 + 75 + 468 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 923317279236 + 8980858188864 = 960894^2 + 2996808^2 .

It is a super-2 number, since 2×9904175468100² (a number of 27 digits) contains 22 as substring.

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, 2171489820 + ... + 2171494380.

Almost surely, 2^{9904175468100} is an apocalyptic number.

9904175468100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9904175468100 is the 3147090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9904175468100

9904175468100 is an abundant number, since it is smaller than the sum of its proper divisors (22555456506579).

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

9904175468100 is a wasteful number, since it uses less digits than its factorization.

9904175468100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9188 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 9904175468100 in words is "nine trillion, nine hundred four billion, one hundred seventy-five million, four hundred sixty-eight thousand, one hundred".