105291 has 6 divisors (see below), whose sum is σ = 152100. Its totient is φ = 70188.

The previous prime is 105277. The next prime is 105319. The reversal of 105291 is 192501.

105291 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 105291 - 2⁶ = 105227 is a prime.

It is a super-2 number, since 2×105291² = 22172389362, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5841 + ... + 5858.

It is an arithmetic number, because the mean of its divisors is an integer number (25350).

2¹⁰⁵²⁹¹ is an apocalyptic number.

105291 is a deficient number, since it is larger than the sum of its proper divisors (46809).

105291 is a wasteful number, since it uses less digits than its factorization.

105291 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11705 (or 11702 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 105291 is about 324.4857469905. The cubic root of 105291 is about 47.2204821094.

Adding to 105291 its reverse (192501), we get a palindrome (297792).

The spelling of 105291 in words is "one hundred five thousand, two hundred ninety-one".