105666111005663 has 4 divisors (see below), whose sum is σ = 113794273390728. Its totient is φ = 97537948620600.

The previous prime is 105666111005657. The next prime is 105666111005681. The reversal of 105666111005663 is 366500111666501.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 105666111005663 - 2¹⁶ = 105666110940127 is a prime.

It is a super-2 number, since 2×105666111005663² (a number of 29 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 (105666111007663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4064081192513 + ... + 4064081192538.

It is an arithmetic number, because the mean of its divisors is an integer number (28448568347682).

Almost surely, 2^{105666111005663} is an apocalyptic number.

105666111005663 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105666111005663 is a deficient number, since it is larger than the sum of its proper divisors (8128162385065).

105666111005663 is an equidigital number, since it uses as much as digits as its factorization.

105666111005663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8128162385064.

The product of its (nonzero) digits is 583200, while the sum is 47.

The spelling of 105666111005663 in words is "one hundred five trillion, six hundred sixty-six billion, one hundred eleven million, five thousand, six hundred sixty-three".