10003240320 has 128 divisors (see below), whose sum is σ = 32000525280. Its totient is φ = 2657894400.

The previous prime is 10003240277. The next prime is 10003240391. The reversal of 10003240320 is 2304230001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10003240320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530250 + ... + 548790.

Almost surely, 2^10003240320 is an apocalyptic number.

10003240320 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 10003240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16000262640).

10003240320 is an abundant number, since it is smaller than the sum of its proper divisors (21997284960).

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

10003240320 is a wasteful number, since it uses less digits than its factorization.

10003240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18844 (or 18832 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 10003240320 its reverse (2304230001), we get a palindrome (12307470321).

The spelling of 10003240320 in words is "ten billion, three million, two hundred forty thousand, three hundred twenty".