10117 has 4 divisors (see below), whose sum is σ = 10336. Its totient is φ = 9900.

The previous prime is 10111. The next prime is 10133. The reversal of 10117 is 71101.

10117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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: 71101 = 97 ⋅733.

It is a cyclic number.

It is not a de Polignac number, because 10117 - 2¹¹ = 8069 is a prime.

It is a Duffinian number.

10117 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9 + ... + 142.

It is an arithmetic number, because the mean of its divisors is an integer number (2584).

2¹⁰¹¹⁷ is an apocalyptic number.

It is an amenable number.

10117 is a deficient number, since it is larger than the sum of its proper divisors (219).

10117 is an equidigital number, since it uses as much as digits as its factorization.

10117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218.

The product of its (nonzero) digits is 7, while the sum is 10.

The square root of 10117 is about 100.5832988125. The cubic root of 10117 is about 21.6280442772.

Adding to 10117 its reverse (71101), we get a palindrome (81218).

The spelling of 10117 in words is "ten thousand, one hundred seventeen", and thus it is an iban number.