10510106105013 has 16 divisors (see below), whose sum is σ = 15349445023680. Its totient is φ = 6367177193216.

The previous prime is 10510106105011. The next prime is 10510106105053. The reversal of 10510106105013 is 31050160101501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10510106105013 - 2¹ = 10510106105011 is a prime.

It is a super-2 number, since 2×10510106105013² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10510106105011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3553110795 + ... + 3553113752.

It is an arithmetic number, because the mean of its divisors is an integer number (959340313980).

Almost surely, 2^{10510106105013} is an apocalyptic number.

It is an amenable number.

10510106105013 is a deficient number, since it is larger than the sum of its proper divisors (4839338918667).

10510106105013 is a wasteful number, since it uses less digits than its factorization.

10510106105013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7106224596.

The product of its (nonzero) digits is 450, while the sum is 24.

Adding to 10510106105013 its reverse (31050160101501), we get a palindrome (41560266206514).

The spelling of 10510106105013 in words is "ten trillion, five hundred ten billion, one hundred six million, one hundred five thousand, thirteen".