10345772360 has 128 divisors (see below), whose sum is σ = 29098448640. Its totient is φ = 3216153600.

The previous prime is 10345772341. The next prime is 10345772401. The reversal of 10345772360 is 6327754301.

10345772360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1218530 + ... + 1226990.

It is an arithmetic number, because the mean of its divisors is an integer number (227331630).

Almost surely, 2^10345772360 is an apocalyptic number.

10345772360 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 10345772360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14549224320).

10345772360 is an abundant number, since it is smaller than the sum of its proper divisors (18752676280).

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

10345772360 is a wasteful number, since it uses less digits than its factorization.

10345772360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8887 (or 8883 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 38.

The spelling of 10345772360 in words is "ten billion, three hundred forty-five million, seven hundred seventy-two thousand, three hundred sixty".