99810090 has 128 divisors (see below), whose sum is σ = 278853120. Its totient is φ = 25380864.

The previous prime is 99810047. The next prime is 99810121. The reversal of 99810090 is 9001899.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 968979 + ... + 969081.

It is an arithmetic number, because the mean of its divisors is an integer number (2178540).

Almost surely, 2^99810090 is an apocalyptic number.

99810090 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a pronic number, being equal to 9990×9991.

It is a practical number, because each smaller number is the sum of distinct divisors of 99810090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139426560).

99810090 is an abundant number, since it is smaller than the sum of its proper divisors (179043030).

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

99810090 is a wasteful number, since it uses less digits than its factorization.

99810090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 99810090 is about 9990.4999874881. The cubic root of 99810090 is about 463.8648691167.

The spelling of 99810090 in words is "ninety-nine million, eight hundred ten thousand, ninety".