105391 has 12 divisors (see below), whose sum is σ = 126616. Its totient is φ = 87120.

The previous prime is 105389. The next prime is 105397. The reversal of 105391 is 193501.

It is not a de Polignac number, because 105391 - 2¹ = 105389 is a prime.

It is a super-2 number, since 2×105391² = 22214525762, which contains 22 as substring.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

105391 is a lucky number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105397) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1540 + ... + 1606.

2¹⁰⁵³⁹¹ is an apocalyptic number.

105391 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105391 is a deficient number, since it is larger than the sum of its proper divisors (21225).

105391 is a wasteful number, since it uses less digits than its factorization.

105391 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 91 counting only the distinct ones).

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

The square root of 105391 is about 324.6398003942. The cubic root of 105391 is about 47.2354265778.

Adding to 105391 its reverse (193501), we get a palindrome (298892).

It can be divided in two parts, 105 and 391, that added together give a triangular number (496 = T₃₁).

The spelling of 105391 in words is "one hundred five thousand, three hundred ninety-one".