99849680100 has 135 divisors (see below), whose sum is σ = 323765430681. Its totient is φ = 26618997600.

The previous prime is 99849680087. The next prime is 99849680131. The reversal of 99849680100 is 108694899.

The square root of 99849680100 is 315990.

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., 35945884836 + 63903795264 = 189594^2 + 252792^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 28437345 + ... + 28440855.

Almost surely, 2^99849680100 is an apocalyptic number.

99849680100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

99849680100 is the 315990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99849680100

99849680100 is an abundant number, since it is smaller than the sum of its proper divisors (223915750581).

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

99849680100 is an equidigital number, since it uses as much as digits as its factorization.

99849680100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7048 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 99849680100 in words is "ninety-nine billion, eight hundred forty-nine million, six hundred eighty thousand, one hundred".