9981100800 has 864 divisors, whose sum is σ = 41059872000. Its totient is φ = 2351923200.

The previous prime is 9981100793. The next prime is 9981100819. The reversal of 9981100800 is 80011899.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 112147156 + ... + 112147244.

It is an arithmetic number, because the mean of its divisors is an integer number (47523000).

Almost surely, 2^9981100800 is an apocalyptic number.

9981100800 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 9981100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20529936000).

9981100800 is an abundant number, since it is smaller than the sum of its proper divisors (31078771200).

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

9981100800 is a wasteful number, since it uses less digits than its factorization.

9981100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 9981100800 is about 99905.4593102899. The cubic root of 9981100800 is about 2153.0765977071.

The spelling of 9981100800 in words is "nine billion, nine hundred eighty-one million, one hundred thousand, eight hundred".