99504814544100 has 243 divisors, whose sum is σ = 362821145304891. Its totient is φ = 22743478800000.

The previous prime is 99504814544053. The next prime is 99504814544117. The reversal of 99504814544100 is 144541840599.

The square root of 99504814544100 is 9975210.

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

99504814544100 is a `hidden beast` number, since 9 + 9 + 5 + 0 + 4 + 81 + 4 + 544 + 10 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 242010866916 + 99262803677184 = 491946^2 + 9963072^2 .

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, 2094770350 + ... + 2094817850.

Almost surely, 2^{99504814544100} is an apocalyptic number.

99504814544100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

99504814544100 is the 9975210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99504814544100

99504814544100 is an abundant number, since it is smaller than the sum of its proper divisors (263316330760791).

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

99504814544100 is an equidigital number, since it uses as much as digits as its factorization.

99504814544100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95036 (or 47518 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 99504814544100 in words is "ninety-nine trillion, five hundred four billion, eight hundred fourteen million, five hundred forty-four thousand, one hundred".