100344004200 has 576 divisors, whose sum is σ = 383491972800. Its totient is φ = 23916902400.

The previous prime is 100344004183. The next prime is 100344004301. The reversal of 100344004200 is 2400443001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 316542442 + ... + 316542758.

It is an arithmetic number, because the mean of its divisors is an integer number (665784675).

Almost surely, 2^100344004200 is an apocalyptic number.

100344004200 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 100344004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191745986400).

100344004200 is an abundant number, since it is smaller than the sum of its proper divisors (283147968600).

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

100344004200 is a wasteful number, since it uses less digits than its factorization.

100344004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 100344004200 its reverse (2400443001), we get a palindrome (102744447201).

The spelling of 100344004200 in words is "one hundred billion, three hundred forty-four million, four thousand, two hundred".