10304013200 has 120 divisors (see below), whose sum is σ = 27579354600. Its totient is φ = 3673313280.

The previous prime is 10304013197. The next prime is 10304013257. The reversal of 10304013200 is 231040301.

It can be written as a sum of positive squares in 12 ways, for example, as 1778814976 + 8525198224 = 42176^2 + 92332^2 .

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, 116636 + ... + 184964.

It is an arithmetic number, because the mean of its divisors is an integer number (229827955).

Almost surely, 2^10304013200 is an apocalyptic number.

10304013200 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 10304013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789677300).

10304013200 is an abundant number, since it is smaller than the sum of its proper divisors (17275341400).

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

10304013200 is a wasteful number, since it uses less digits than its factorization.

10304013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68389 (or 68378 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10304013200 its reverse (231040301), we get a palindrome (10535053501).

The spelling of 10304013200 in words is "ten billion, three hundred four million, thirteen thousand, two hundred".