10005321320 has 64 divisors (see below), whose sum is σ = 23569056000. Its totient is φ = 3817531648.

The previous prime is 10005321247. The next prime is 10005321329. The reversal of 10005321320 is 2312350001.

It is not an unprimeable number, because it can be changed into a prime (10005321329) 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, 44321 + ... + 148239.

It is an arithmetic number, because the mean of its divisors is an integer number (368266500).

Almost surely, 2^10005321320 is an apocalyptic number.

10005321320 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 10005321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11784528000).

10005321320 is an abundant number, since it is smaller than the sum of its proper divisors (13563734680).

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

10005321320 is a wasteful number, since it uses less digits than its factorization.

10005321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104042 (or 104038 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

Adding to 10005321320 its reverse (2312350001), we get a palindrome (12317671321).

The spelling of 10005321320 in words is "ten billion, five million, three hundred twenty-one thousand, three hundred twenty".