105191 has 4 divisors (see below), whose sum is σ = 108072. Its totient is φ = 102312.

The previous prime is 105173. The next prime is 105199. The reversal of 105191 is 191501.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 191501 = 19 ⋅10079.

It is a cyclic number.

It is not a de Polignac number, because 105191 - 2¹⁴ = 88807 is a prime.

It is a super-2 number, since 2×105191² = 22130292962, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1385 + ... + 1458.

It is an arithmetic number, because the mean of its divisors is an integer number (27018).

2¹⁰⁵¹⁹¹ is an apocalyptic number.

105191 is a deficient number, since it is larger than the sum of its proper divisors (2881).

105191 is an equidigital number, since it uses as much as digits as its factorization.

105191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880.

The product of its (nonzero) digits is 45, while the sum is 17.

The square root of 105191 is about 324.3316204134. The cubic root of 105191 is about 47.2055281756.

Adding to 105191 its reverse (191501), we get a palindrome (296692).

The spelling of 105191 in words is "one hundred five thousand, one hundred ninety-one".