105505717 has 4 divisors (see below), whose sum is σ = 105526540. Its totient is φ = 105484896.

The previous prime is 105505693. The next prime is 105505739. The reversal of 105505717 is 717505501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 717505501 = 29 ⋅24741569.

It can be written as a sum of positive squares in 2 ways, for example, as 104162436 + 1343281 = 10206^2 + 1159^2 .

It is a cyclic number.

It is not a de Polignac number, because 105505717 - 2¹¹ = 105503669 is a prime.

It is a super-2 number, since 2×105505717² = 22262912639368178, 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 (105565717) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2659 + ... + 14767.

It is an arithmetic number, because the mean of its divisors is an integer number (26381635).

Almost surely, 2^105505717 is an apocalyptic number.

It is an amenable number.

105505717 is a deficient number, since it is larger than the sum of its proper divisors (20823).

105505717 is an equidigital number, since it uses as much as digits as its factorization.

105505717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20822.

The product of its (nonzero) digits is 6125, while the sum is 31.

The square root of 105505717 is about 10271.5975875226. The cubic root of 105505717 is about 472.5255878568.

The spelling of 105505717 in words is "one hundred five million, five hundred five thousand, seven hundred seventeen".