9009900 has 144 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 2318400.

The previous prime is 9009893. The next prime is 9009901. The reversal of 9009900 is 99009.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

9009900 is a modest number, since divided by 9900 gives 900 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9009901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126865 + ... + 126935.

It is an arithmetic number, because the mean of its divisors is an integer number (208320).

Almost surely, 2^9009900 is an apocalyptic number.

9009900 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 9009900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

9009900 is an abundant number, since it is smaller than the sum of its proper divisors (20988180).

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

9009900 is a wasteful number, since it uses less digits than its factorization.

9009900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The square root of 9009900 is about 3001.6495464994. The cubic root of 9009900 is about 208.0846240969.

The spelling of 9009900 in words is "nine million, nine thousand, nine hundred".