105193 has 8 divisors (see below), whose sum is σ = 117216. Its totient is φ = 93600.

The previous prime is 105173. The next prime is 105199. The reversal of 105193 is 391501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105193 - 2⁹ = 104681 is a prime.

It is a super-2 number, since 2×105193² = 22131134498, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105193.

It is not an unprimeable number, because it can be changed into a prime (105199) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 738 + ... + 868.

It is an arithmetic number, because the mean of its divisors is an integer number (14652).

2¹⁰⁵¹⁹³ is an apocalyptic number.

It is an amenable number.

105193 is a deficient number, since it is larger than the sum of its proper divisors (12023).

105193 is a wasteful number, since it uses less digits than its factorization.

105193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215.

The product of its (nonzero) digits is 135, while the sum is 19.

The square root of 105193 is about 324.3347036627. The cubic root of 105193 is about 47.2058273472.

Adding to 105193 its reverse (391501), we get a palindrome (496694).

The spelling of 105193 in words is "one hundred five thousand, one hundred ninety-three".