10159305312 has 96 divisors (see below), whose sum is σ = 28768158720. Its totient is φ = 3120652800.

The previous prime is 10159305311. The next prime is 10159305397. The reversal of 10159305312 is 21350395101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10159305312² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10159305312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10159305311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 765937 + ... + 779087.

It is an arithmetic number, because the mean of its divisors is an integer number (299668320).

Almost surely, 2^10159305312 is an apocalyptic number.

10159305312 is a gapful number since it is divisible by the number (12) 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 10159305312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14384079360).

10159305312 is an abundant number, since it is smaller than the sum of its proper divisors (18608853408).

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

10159305312 is a wasteful number, since it uses less digits than its factorization.

10159305312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13796 (or 13788 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 30.

The spelling of 10159305312 in words is "ten billion, one hundred fifty-nine million, three hundred five thousand, three hundred twelve".