10004344300 has 72 divisors (see below), whose sum is σ = 21966562800. Its totient is φ = 3954616320.

The previous prime is 10004344291. The next prime is 10004344309. The reversal of 10004344300 is 344340001.

10004344300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10004344291) and next prime (10004344309).

It is not an unprimeable number, because it can be changed into a prime (10004344309) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3237156 + ... + 3240244.

It is an arithmetic number, because the mean of its divisors is an integer number (305091150).

Almost surely, 2^10004344300 is an apocalyptic number.

10004344300 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 10004344300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10983281400).

10004344300 is an abundant number, since it is smaller than the sum of its proper divisors (11962218500).

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

10004344300 is a wasteful number, since it uses less digits than its factorization.

10004344300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3475 (or 3468 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 10004344300 its reverse (344340001), we get a palindrome (10348684301).

The spelling of 10004344300 in words is "ten billion, four million, three hundred forty-four thousand, three hundred".