105091 has 4 divisors (see below), whose sum is σ = 120112. Its totient is φ = 90072.

The previous prime is 105071. The next prime is 105097. The reversal of 105091 is 190501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 190501 = 29 ⋅6569.

It is a cyclic number.

It is not a de Polignac number, because 105091 - 2⁹ = 104579 is a prime.

It is a super-2 number, since 2×105091² = 22088236562, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

105091 is a lucky number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (105097) 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, 7500 + ... + 7513.

It is an arithmetic number, because the mean of its divisors is an integer number (30028).

2¹⁰⁵⁰⁹¹ is an apocalyptic number.

105091 is a deficient number, since it is larger than the sum of its proper divisors (15021).

105091 is an equidigital number, since it uses as much as digits as its factorization.

105091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15020.

The product of its (nonzero) digits is 45, while the sum is 16.

The square root of 105091 is about 324.1774205586. The cubic root of 105091 is about 47.1905647615.

Adding to 105091 its reverse (190501), we get a palindrome (295592).

The spelling of 105091 in words is "one hundred five thousand, ninety-one".