9008909100 has 360 divisors, whose sum is σ = 30752198400. Its totient is φ = 2286377280.

The previous prime is 9008909051. The next prime is 9008909113. The reversal of 9008909100 is 19098009.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 45270801 + ... + 45270999.

Almost surely, 2^9008909100 is an apocalyptic number.

9008909100 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 9008909100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15376099200).

9008909100 is an abundant number, since it is smaller than the sum of its proper divisors (21743289300).

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

9008909100 is a wasteful number, since it uses less digits than its factorization.

9008909100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 232 counting only the distinct ones).

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

The square root of 9008909100 is about 94915.2732704279. The cubic root of 9008909100 is about 2080.7699550265.

It can be divided in two parts, 9008909 and 100, that added together give a palindrome (9009009).

The spelling of 9008909100 in words is "nine billion, eight million, nine hundred nine thousand, one hundred".