10345522120 has 64 divisors (see below), whose sum is σ = 24204096000. Its totient is φ = 3975421440.

The previous prime is 10345522093. The next prime is 10345522129. The reversal of 10345522120 is 2122554301.

It is not an unprimeable number, because it can be changed into a prime (10345522129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139431 + ... + 200329.

It is an arithmetic number, because the mean of its divisors is an integer number (378189000).

Almost surely, 2^10345522120 is an apocalyptic number.

10345522120 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 10345522120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12102048000).

10345522120 is an abundant number, since it is smaller than the sum of its proper divisors (13858573880).

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

10345522120 is a wasteful number, since it uses less digits than its factorization.

10345522120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61078 (or 61074 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 10345522120 in words is "ten billion, three hundred forty-five million, five hundred twenty-two thousand, one hundred twenty".