105066106364631 has 16 divisors (see below), whose sum is σ = 140275180297440. Its totient is φ = 69950555550720.

The previous prime is 105066106364603. The next prime is 105066106364647. The reversal of 105066106364631 is 136463601660501.

It is not a de Polignac number, because 105066106364631 - 2¹⁰ = 105066106363607 is a prime.

It is a super-2 number, since 2×105066106364631² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105066106354631) 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, 113847951 + ... + 114767103.

It is an arithmetic number, because the mean of its divisors is an integer number (8767198768590).

Almost surely, 2^{105066106364631} is an apocalyptic number.

105066106364631 is a deficient number, since it is larger than the sum of its proper divisors (35209073932809).

105066106364631 is an equidigital number, since it uses as much as digits as its factorization.

105066106364631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969986.

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 105066106364631 in words is "one hundred five trillion, sixty-six billion, one hundred six million, three hundred sixty-four thousand, six hundred thirty-one".