10241030304 has 144 divisors (see below), whose sum is σ = 30440166120. Its totient is φ = 3261726720.

The previous prime is 10241030291. The next prime is 10241030309. The reversal of 10241030304 is 40303014201.

It can be written as a sum of positive squares in 4 ways, for example, as 5048386704 + 5192643600 = 71052^2 + 72060^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (10241030309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 803824 + ... + 816464.

Almost surely, 2^10241030304 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 10241030304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15220083060).

10241030304 is an abundant number, since it is smaller than the sum of its proper divisors (20199135816).

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

10241030304 is a wasteful number, since it uses less digits than its factorization.

10241030304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12783 (or 12772 counting only the distinct ones).

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

Adding to 10241030304 its reverse (40303014201), we get a palindrome (50544044505).

The spelling of 10241030304 in words is "ten billion, two hundred forty-one million, thirty thousand, three hundred four".