105666517 has 12 divisors (see below), whose sum is σ = 120154860. Its totient is φ = 92744960.

The previous prime is 105666499. The next prime is 105666521. The reversal of 105666517 is 715666501.

It can be written as a sum of positive squares in 2 ways, for example, as 80174116 + 25492401 = 8954^2 + 5049^2 .

It is a de Polignac number, because none of the positive numbers 2^k-105666517 is a prime.

It is a super-2 number, since 2×105666517² = 22330825629822578, which 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 (105666317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11548 + ... + 18565.

It is an arithmetic number, because the mean of its divisors is an integer number (10012905).

Almost surely, 2^105666517 is an apocalyptic number.

It is an amenable number.

105666517 is a deficient number, since it is larger than the sum of its proper divisors (14488343).

105666517 is a wasteful number, since it uses less digits than its factorization.

105666517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30164 (or 30153 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 105666517 is about 10279.4220168257. The cubic root of 105666517 is about 472.7655228676.

The spelling of 105666517 in words is "one hundred five million, six hundred sixty-six thousand, five hundred seventeen".