102117 has 4 divisors (see below), whose sum is σ = 136160. Its totient is φ = 68076.

The previous prime is 102107. The next prime is 102121. The reversal of 102117 is 711201.

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: 711201 = 3 ⋅237067.

It is not a de Polignac number, because 102117 - 2⁴ = 102101 is a prime.

It is a D-number.

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 102117.

It is not an unprimeable number, because it can be changed into a prime (102107) 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, 17017 + ... + 17022.

It is an arithmetic number, because the mean of its divisors is an integer number (34040).

2¹⁰²¹¹⁷ is an apocalyptic number.

It is an amenable number.

102117 is a deficient number, since it is larger than the sum of its proper divisors (34043).

102117 is an equidigital number, since it uses as much as digits as its factorization.

102117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34042.

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 102117 is about 319.5575065618. The cubic root of 102117 is about 46.7411452436.

Adding to 102117 its reverse (711201), we get a palindrome (813318).

The spelling of 102117 in words is "one hundred two thousand, one hundred seventeen", and thus it is an iban number.