100204384800 has 288 divisors, whose sum is σ = 351674991360. Its totient is φ = 24636211200.

The previous prime is 100204384793. The next prime is 100204384871. The reversal of 100204384800 is 8483402001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38405896 + ... + 38408504.

It is an arithmetic number, because the mean of its divisors is an integer number (1221093720).

Almost surely, 2^100204384800 is an apocalyptic number.

100204384800 is a gapful number since it is divisible by the number (10) 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 100204384800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175837495680).

100204384800 is an abundant number, since it is smaller than the sum of its proper divisors (251470606560).

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

100204384800 is a wasteful number, since it uses less digits than its factorization.

100204384800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3876 (or 3863 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 100204384800 its reverse (8483402001), we get a palindrome (108687786801).

The spelling of 100204384800 in words is "one hundred billion, two hundred four million, three hundred eighty-four thousand, eight hundred".