99100108800 has 2304 divisors, whose sum is σ = 487468800000. Its totient is φ = 19508428800.

The previous prime is 99100108777. The next prime is 99100108817. The reversal of 99100108800 is 880100199.

It is a tau number, because it is divible by the number of its divisors (2304).

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 191 ways as a sum of consecutive naturals, for example, 5215795191 + ... + 5215795209.

It is an arithmetic number, because the mean of its divisors is an integer number (211575000).

Almost surely, 2^99100108800 is an apocalyptic number.

99100108800 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 99100108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243734400000).

99100108800 is an abundant number, since it is smaller than the sum of its proper divisors (388368691200).

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

99100108800 is a wasteful number, since it uses less digits than its factorization.

99100108800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 47 counting only the distinct ones).

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

Adding to 99100108800 its reverse (880100199), we get a palindrome (99980208999).

The spelling of 99100108800 in words is "ninety-nine billion, one hundred million, one hundred eight thousand, eight hundred".