10304013024 has 96 divisors (see below), whose sum is σ = 30476839680. Its totient is φ = 3386275200.

The previous prime is 10304013023. The next prime is 10304013029. The reversal of 10304013024 is 42031040301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

10304013024 is a modest number, since divided by 13024 gives 10304 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10304012988 and 10304013006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10304013023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22642 + ... + 145329.

It is an arithmetic number, because the mean of its divisors is an integer number (317467080).

Almost surely, 2^10304013024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10304013024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15238419840).

10304013024 is an abundant number, since it is smaller than the sum of its proper divisors (20172826656).

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

10304013024 is a wasteful number, since it uses less digits than its factorization.

10304013024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168061 (or 168047 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10304013024 its reverse (42031040301), we get a palindrome (52335053325).

The spelling of 10304013024 in words is "ten billion, three hundred four million, thirteen thousand, twenty-four".