10505106717 has 24 divisors (see below), whose sum is σ = 16299271296. Its totient is φ = 6000841728.

The previous prime is 10505106697. The next prime is 10505106737. The reversal of 10505106717 is 71760150501.

10505106717 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10505106697) and next prime (10505106737).

It is not a de Polignac number, because 10505106717 - 2¹⁰ = 10505105693 is a prime.

It is a super-2 number, since 2×10505106717² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505106737) 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 23 ways as a sum of consecutive naturals, for example, 480733 + ... + 502109.

It is an arithmetic number, because the mean of its divisors is an integer number (679136304).

Almost surely, 2^10505106717 is an apocalyptic number.

It is an amenable number.

10505106717 is a deficient number, since it is larger than the sum of its proper divisors (5794164579).

10505106717 is a wasteful number, since it uses less digits than its factorization.

10505106717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24737 (or 24730 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 33.

The spelling of 10505106717 in words is "ten billion, five hundred five million, one hundred six thousand, seven hundred seventeen".