105666256107 has 8 divisors (see below), whose sum is σ = 156542601680. Its totient is φ = 70444170720.

The previous prime is 105666256103. The next prime is 105666256123. The reversal of 105666256107 is 701652666501.

It is not a de Polignac number, because 105666256107 - 2² = 105666256103 is a prime.

It is a super-4 number, since 4×105666256107⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105666256103) 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 7 ways as a sum of consecutive naturals, for example, 1956782494 + ... + 1956782547.

It is an arithmetic number, because the mean of its divisors is an integer number (19567825210).

Almost surely, 2^105666256107 is an apocalyptic number.

105666256107 is a deficient number, since it is larger than the sum of its proper divisors (50876345573).

105666256107 is an equidigital number, since it uses as much as digits as its factorization.

105666256107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3913565050 (or 3913565044 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 105666256107 in words is "one hundred five billion, six hundred sixty-six million, two hundred fifty-six thousand, one hundred seven".