10344024200 has 96 divisors (see below), whose sum is σ = 24864360960. Its totient is φ = 3997900800.

The previous prime is 10344024191. The next prime is 10344024211. The reversal of 10344024200 is 242044301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7147877 + ... + 7149323.

It is an arithmetic number, because the mean of its divisors is an integer number (259003760).

Almost surely, 2^10344024200 is an apocalyptic number.

10344024200 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 10344024200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12432180480).

10344024200 is an abundant number, since it is smaller than the sum of its proper divisors (14520336760).

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

10344024200 is a wasteful number, since it uses less digits than its factorization.

10344024200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2647 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10344024200 its reverse (242044301), we get a palindrome (10586068501).

The spelling of 10344024200 in words is "ten billion, three hundred forty-four million, twenty-four thousand, two hundred".