105666610617 has 48 divisors (see below), whose sum is σ = 162713783232. Its totient is φ = 68475844800.

The previous prime is 105666610601. The next prime is 105666610663. The reversal of 105666610617 is 716016666501.

It is not a de Polignac number, because 105666610617 - 2⁴ = 105666610601 is a prime.

It is a super-2 number, since 2×105666610617² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105666610667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10667367 + ... + 10677267.

It is an arithmetic number, because the mean of its divisors is an integer number (3389870484).

Almost surely, 2^105666610617 is an apocalyptic number.

It is an amenable number.

105666610617 is a deficient number, since it is larger than the sum of its proper divisors (57047172615).

105666610617 is an equidigital number, since it uses as much as digits as its factorization.

105666610617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11140 (or 11128 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 105666610617 in words is "one hundred five billion, six hundred sixty-six million, six hundred ten thousand, six hundred seventeen".