100304204000 has 1152 divisors, whose sum is σ = 348079140864. Its totient is φ = 27555840000.

The previous prime is 100304203997. The next prime is 100304204017. The reversal of 100304204000 is 402403001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2134131977 + ... + 2134132023.

It is an arithmetic number, because the mean of its divisors is an integer number (302152032).

Almost surely, 2^100304204000 is an apocalyptic number.

100304204000 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 100304204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174039570432).

100304204000 is an abundant number, since it is smaller than the sum of its proper divisors (247774936864).

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

100304204000 is a wasteful number, since it uses less digits than its factorization.

100304204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 100304204000 its reverse (402403001), we get a palindrome (100706607001).

The spelling of 100304204000 in words is "one hundred billion, three hundred four million, two hundred four thousand".