106117 has 6 divisors (see below), whose sum is σ = 116774. Its totient is φ = 96360.

The previous prime is 106109. The next prime is 106121. The reversal of 106117 is 711601.

It can be written as a sum of positive squares in only one way, i.e., 101761 + 4356 = 319^2 + 66^2 .

It is not a de Polignac number, because 106117 - 2³ = 106109 is a prime.

It is a super-2 number, since 2×106117² = 22521635378, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106187) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 318 + ... + 559.

2¹⁰⁶¹¹⁷ is an apocalyptic number.

It is an amenable number.

106117 is a deficient number, since it is larger than the sum of its proper divisors (10657).

106117 is an equidigital number, since it uses as much as digits as its factorization.

106117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 106117 is about 325.7560436891. The cubic root of 106117 is about 47.3436409917.

Adding to 106117 its reverse (711601), we get a palindrome (817718).

The spelling of 106117 in words is "one hundred six thousand, one hundred seventeen".