105267044666013 has 16 divisors (see below), whose sum is σ = 143818544967552. Its totient is φ = 68447719616000.

The previous prime is 105267044665997. The next prime is 105267044666033. The reversal of 105267044666013 is 310666440762501.

It is not a de Polignac number, because 105267044666013 - 2⁴ = 105267044665997 is a prime.

It is a super-2 number, since 2×105267044666013² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105267044666033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116114748 + ... + 117017813.

It is an arithmetic number, because the mean of its divisors is an integer number (8988659060472).

Almost surely, 2^{105267044666013} is an apocalyptic number.

It is an amenable number.

105267044666013 is a deficient number, since it is larger than the sum of its proper divisors (38551500301539).

105267044666013 is a wasteful number, since it uses less digits than its factorization.

105267044666013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233136276.

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 105267044666013 in words is "one hundred five trillion, two hundred sixty-seven billion, forty-four million, six hundred sixty-six thousand, thirteen".