10107960960 has 128 divisors (see below), whose sum is σ = 32406428160. Its totient is φ = 2679787520.

The previous prime is 10107960959. The next prime is 10107960971. The reversal of 10107960960 is 6906970101.

10107960960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 316945 + ... + 347375.

It is an arithmetic number, because the mean of its divisors is an integer number (253175220).

Almost surely, 2^10107960960 is an apocalyptic number.

10107960960 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 10107960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16203214080).

10107960960 is an abundant number, since it is smaller than the sum of its proper divisors (22298467200).

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

10107960960 is a wasteful number, since it uses less digits than its factorization.

10107960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30626 (or 30614 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The spelling of 10107960960 in words is "ten billion, one hundred seven million, nine hundred sixty thousand, nine hundred sixty".