9000990100 has 18 divisors (see below), whose sum is σ = 19532148734. Its totient is φ = 3600396000.

The previous prime is 9000990091. The next prime is 9000990107. The reversal of 9000990100 is 10990009.

It can be written as a sum of positive squares in 3 ways, for example, as 1052676 + 8999937424 = 1026^2 + 94868^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000990107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45004851 + ... + 45005050.

Almost surely, 2^9000990100 is an apocalyptic number.

It is an amenable number.

9000990100 is an abundant number, since it is smaller than the sum of its proper divisors (10531158634).

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

9000990100 is a wasteful number, since it uses less digits than its factorization.

9000990100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90009915 (or 90009908 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 28.

The square root of 9000990100 is about 94873.5479467275. The cubic root of 9000990100 is about 2080.1600976991.

The spelling of 9000990100 in words is "nine billion, nine hundred ninety thousand, one hundred".