10105717 has 16 divisors (see below), whose sum is σ = 11088000. Its totient is φ = 9180864.

The previous prime is 10105709. The next prime is 10105727. The reversal of 10105717 is 71750101.

It is not a de Polignac number, because 10105717 - 2³ = 10105709 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72634 + ... + 72772.

It is an arithmetic number, because the mean of its divisors is an integer number (693000).

Almost surely, 2^10105717 is an apocalyptic number.

It is an amenable number.

10105717 is a deficient number, since it is larger than the sum of its proper divisors (982283).

10105717 is a wasteful number, since it uses less digits than its factorization.

10105717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300.

The product of its (nonzero) digits is 245, while the sum is 22.

The square root of 10105717 is about 3178.9490401704. The cubic root of 10105717 is about 216.2000104972.

Adding to 10105717 its reverse (71750101), we get a palindrome (81855818).

The spelling of 10105717 in words is "ten million, one hundred five thousand, seven hundred seventeen".