100344043800 has 576 divisors, whose sum is σ = 452468540160. Its totient is φ = 19246464000.

The previous prime is 100344043739. The next prime is 100344043801. The reversal of 100344043800 is 8340443001.

100344043800 is a `hidden beast` number, since 100 + 3 + 440 + 43 + 80 + 0 = 666.

It is a super-2 number, since 2×100344043800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100344043801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1773955 + ... + 1829645.

It is an arithmetic number, because the mean of its divisors is an integer number (785535660).

Almost surely, 2^100344043800 is an apocalyptic number.

100344043800 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 100344043800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226234270080).

100344043800 is an abundant number, since it is smaller than the sum of its proper divisors (352124496360).

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

100344043800 is a wasteful number, since it uses less digits than its factorization.

100344043800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55744 (or 55732 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 100344043800 its reverse (8340443001), we get a palindrome (108684486801).

The spelling of 100344043800 in words is "one hundred billion, three hundred forty-four million, forty-three thousand, eight hundred".