10304143400 has 96 divisors (see below), whose sum is σ = 24477730200. Its totient is φ = 4032537600.

The previous prime is 10304143379. The next prime is 10304143417. The reversal of 10304143400 is 434140301.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 367642276 + 9936501124 = 19174^2 + 99682^2 .

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, 4461446 + ... + 4463754.

Almost surely, 2^10304143400 is an apocalyptic number.

10304143400 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 10304143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12238865100).

10304143400 is an abundant number, since it is smaller than the sum of its proper divisors (14173586800).

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

10304143400 is a wasteful number, since it uses less digits than its factorization.

10304143400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10304143400 its reverse (434140301), we get a palindrome (10738283701).

The spelling of 10304143400 in words is "ten billion, three hundred four million, one hundred forty-three thousand, four hundred".