10103122320 has 320 divisors, whose sum is σ = 34136743680. Its totient is φ = 2463105024.

The previous prime is 10103122313. The next prime is 10103122349. The reversal of 10103122320 is 2322130101.

It is a super-2 number, since 2×10103122320² (a number of 21 digits) contains 22 as substring.

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 10103122320.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39311632 + ... + 39311888.

It is an arithmetic number, because the mean of its divisors is an integer number (106677324).

Almost surely, 2^10103122320 is an apocalyptic number.

10103122320 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 10103122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17068371840).

10103122320 is an abundant number, since it is smaller than the sum of its proper divisors (24033621360).

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

10103122320 is a wasteful number, since it uses less digits than its factorization.

10103122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10103122320 its reverse (2322130101), we get a palindrome (12425252421).

The spelling of 10103122320 in words is "ten billion, one hundred three million, one hundred twenty-two thousand, three hundred twenty".