10345112220 has 96 divisors (see below), whose sum is σ = 29550140928. Its totient is φ = 2703520512.

The previous prime is 10345112213. The next prime is 10345112233. The reversal of 10345112220 is 2221154301.

10345112220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 785409 + ... + 798471.

It is an arithmetic number, because the mean of its divisors is an integer number (307813968).

Almost surely, 2^10345112220 is an apocalyptic number.

10345112220 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 10345112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14775070464).

10345112220 is an abundant number, since it is smaller than the sum of its proper divisors (19205028708).

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

10345112220 is a wasteful number, since it uses less digits than its factorization.

10345112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13339 (or 13337 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 10345112220 its reverse (2221154301), we get a palindrome (12566266521).

The spelling of 10345112220 in words is "ten billion, three hundred forty-five million, one hundred twelve thousand, two hundred twenty".