10345220320 has 72 divisors (see below), whose sum is σ = 25794775944. Its totient is φ = 3920272128.

The previous prime is 10345220299. The next prime is 10345220323. The reversal of 10345220320 is 2302254301.

It is a junction number, because it is equal to n+sod(n) for n = 10345220291 and 10345220300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10345220323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31794 + ... + 147313.

It is an arithmetic number, because the mean of its divisors is an integer number (358260777).

Almost surely, 2^10345220320 is an apocalyptic number.

10345220320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10345220320 is an abundant number, since it is smaller than the sum of its proper divisors (15449555624).

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

10345220320 is a wasteful number, since it uses less digits than its factorization.

10345220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179160 (or 179133 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 10345220320 its reverse (2302254301), we get a palindrome (12647474621).

The spelling of 10345220320 in words is "ten billion, three hundred forty-five million, two hundred twenty thousand, three hundred twenty".