10105056013 has 16 divisors (see below), whose sum is σ = 10959678576. Its totient is φ = 9261711360.

The previous prime is 10105056011. The next prime is 10105056047. The reversal of 10105056013 is 31065050101.

It can be written as a sum of positive squares in 8 ways, for example, as 1921682569 + 8183373444 = 43837^2 + 90462^2 .

It is a cyclic number.

It is not a de Polignac number, because 10105056013 - 2¹ = 10105056011 is a prime.

It is a super-2 number, since 2×10105056013² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105056011) 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, 1101381 + ... + 1110517.

It is an arithmetic number, because the mean of its divisors is an integer number (684979911).

Almost surely, 2^10105056013 is an apocalyptic number.

10105056013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10105056013 is a deficient number, since it is larger than the sum of its proper divisors (854622563).

10105056013 is a wasteful number, since it uses less digits than its factorization.

10105056013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9744.

The product of its (nonzero) digits is 450, while the sum is 22.

The spelling of 10105056013 in words is "ten billion, one hundred five million, fifty-six thousand, thirteen".