107117 has 4 divisors (see below), whose sum is σ = 113436. Its totient is φ = 100800.

The previous prime is 107101. The next prime is 107119. The reversal of 107117 is 711701.

107117 is nontrivially palindromic in base 15.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 75076 + 32041 = 274^2 + 179^2 .

It is a cyclic number.

It is not a de Polignac number, because 107117 - 2⁴ = 107101 is a prime.

It is a super-2 number, since 2×107117² = 22948103378, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17), and also a Moran number because the ratio is a prime number: 6301 = 107117 / (1 + 0 + 7 + 1 + 1 + 7).

It is a Duffinian number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 107095 and 107104.

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 107117.

It is not an unprimeable number, because it can be changed into a prime (107119) 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, 3134 + ... + 3167.

It is an arithmetic number, because the mean of its divisors is an integer number (28359).

2¹⁰⁷¹¹⁷ is an apocalyptic number.

107117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

107117 is a deficient number, since it is larger than the sum of its proper divisors (6319).

107117 is an equidigital number, since it uses as much as digits as its factorization.

107117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6318.

The product of its (nonzero) digits is 49, while the sum is 17.

The square root of 107117 is about 327.2873355326. The cubic root of 107117 is about 47.4918915060.

Adding to 107117 its reverse (711701), we get a palindrome (818818).

The spelling of 107117 in words is "one hundred seven thousand, one hundred seventeen", and thus it is an iban number.