9901036800 has 648 divisors, whose sum is σ = 38056418400. Its totient is φ = 2448506880.

The previous prime is 9901036771. The next prime is 9901036801. The reversal of 9901036800 is 86301099.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9901036801) 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 71 ways as a sum of consecutive naturals, for example, 90835146 + ... + 90835254.

Almost surely, 2^9901036800 is an apocalyptic number.

9901036800 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 9901036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19028209200).

9901036800 is an abundant number, since it is smaller than the sum of its proper divisors (28155381600).

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

9901036800 is a wasteful number, since it uses less digits than its factorization.

9901036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 9901036800 is about 99503.9536902931. The cubic root of 9901036800 is about 2147.3041242206.

Adding to 9901036800 its reverse (86301099), we get a palindrome (9987337899).

The spelling of 9901036800 in words is "nine billion, nine hundred one million, thirty-six thousand, eight hundred".