105516717 has 8 divisors (see below), whose sum is σ = 141585696. Its totient is φ = 69896112.

The previous prime is 105516713. The next prime is 105516727. The reversal of 105516717 is 717615501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105516717 - 2² = 105516713 is a prime.

It is a super-2 number, since 2×105516717² = 22267555132916178, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105516713) 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 7 ways as a sum of consecutive naturals, for example, 111543 + ... + 112484.

It is an arithmetic number, because the mean of its divisors is an integer number (17698212).

Almost surely, 2^105516717 is an apocalyptic number.

It is an amenable number.

105516717 is a deficient number, since it is larger than the sum of its proper divisors (36068979).

105516717 is a wasteful number, since it uses less digits than its factorization.

105516717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224187.

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

The square root of 105516717 is about 10272.1330306806. The cubic root of 105516717 is about 472.5420090865.

The spelling of 105516717 in words is "one hundred five million, five hundred sixteen thousand, seven hundred seventeen".