105017 has 4 divisors (see below), whose sum is σ = 114576. Its totient is φ = 95460.

The previous prime is 104999. The next prime is 105019. The reversal of 105017 is 710501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 710501 = 11 ⋅64591.

It is a cyclic number.

It is not a de Polignac number, because 105017 - 2⁶ = 104953 is a prime.

It is a super-2 number, since 2×105017² = 22057140578, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104992 and 105010.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105017.

It is not an unprimeable number, because it can be changed into a prime (105019) 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, 4763 + ... + 4784.

It is an arithmetic number, because the mean of its divisors is an integer number (28644).

2¹⁰⁵⁰¹⁷ is an apocalyptic number.

It is an amenable number.

105017 is a deficient number, since it is larger than the sum of its proper divisors (9559).

105017 is an equidigital number, since it uses as much as digits as its factorization.

105017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9558.

The product of its (nonzero) digits is 35, while the sum is 14.

The square root of 105017 is about 324.0632654282. The cubic root of 105017 is about 47.1794857228.

Adding to 105017 its reverse (710501), we get a palindrome (815518).

The spelling of 105017 in words is "one hundred five thousand, seventeen".