106517 has 4 divisors (see below), whose sum is σ = 110220. Its totient is φ = 102816.

The previous prime is 106501. The next prime is 106531. The reversal of 106517 is 715601.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 715601 = 251 ⋅2851.

It can be written as a sum of positive squares in 2 ways, for example, as 27556 + 78961 = 166^2 + 281^2 .

It is a cyclic number.

It is not a de Polignac number, because 106517 - 2⁴ = 106501 is a prime.

It is a super-2 number, since 2×106517² = 22691742578, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106517.

It is not an unprimeable number, because it can be changed into a prime (106537) 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, 1808 + ... + 1865.

It is an arithmetic number, because the mean of its divisors is an integer number (27555).

2¹⁰⁶⁵¹⁷ is an apocalyptic number.

It is an amenable number.

106517 is a deficient number, since it is larger than the sum of its proper divisors (3703).

106517 is an equidigital number, since it uses as much as digits as its factorization.

106517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3702.

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 106517 is about 326.3694225873. The cubic root of 106517 is about 47.4030524956.

The spelling of 106517 in words is "one hundred six thousand, five hundred seventeen".