9999000900 has 216 divisors, whose sum is σ = 36581825280. Its totient is φ = 2236792320.

The previous prime is 9999000859. The next prime is 9999000901. The reversal of 9999000900 is 90009999.

9999000900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9999000901) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 279216 + ... + 312984.

Almost surely, 2^9999000900 is an apocalyptic number.

9999000900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9999000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18290912640).

9999000900 is an abundant number, since it is smaller than the sum of its proper divisors (26582824380).

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

9999000900 is a wasteful number, since it uses less digits than its factorization.

9999000900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33843 (or 33833 counting only the distinct ones).

The product of its (nonzero) digits is 59049, while the sum is 45.

The square root of 9999000900 is about 99995.0043752187. The cubic root of 9999000900 is about 2154.3629377856.

The spelling of 9999000900 in words is "nine billion, nine hundred ninety-nine million, nine hundred", and thus it is an aban number.