108193 has 2 divisors, whose sum is σ = 108194. Its totient is φ = 108192.

The previous prime is 108191. The next prime is 108203. The reversal of 108193 is 391801.

108193 is nontrivially palindromic in base 16.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91809 + 16384 = 303^2 + 128^2 .

It is an emirp because it is prime and its reverse (391801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 108193 - 2¹ = 108191 is a prime.

Together with 108191, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (108191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54096 + 54097.

It is an arithmetic number, because the mean of its divisors is an integer number (54097).

2¹⁰⁸¹⁹³ is an apocalyptic number.

It is an amenable number.

108193 is a deficient number, since it is larger than the sum of its proper divisors (1).

108193 is an equidigital number, since it uses as much as digits as its factorization.

108193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 108193 is about 328.9270435826. The cubic root of 108193 is about 47.6503821226.

Adding to 108193 its reverse (391801), we get a palindrome (499994).

The spelling of 108193 in words is "one hundred eight thousand, one hundred ninety-three".