105367 has 2 divisors, whose sum is σ = 105368. Its totient is φ = 105366.

The previous prime is 105361. The next prime is 105373. The reversal of 105367 is 763501.

It is a balanced prime because it is at equal distance from previous prime (105361) and next prime (105373).

It is a cyclic number.

It is not a de Polignac number, because 105367 - 2³ = 105359 is a prime.

It is a super-2 number, since 2×105367² = 22204409378, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105361) 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 as a sum of consecutive naturals, namely, 52683 + 52684.

It is an arithmetic number, because the mean of its divisors is an integer number (52684).

2¹⁰⁵³⁶⁷ is an apocalyptic number.

105367 is a deficient number, since it is larger than the sum of its proper divisors (1).

105367 is an equidigital number, since it uses as much as digits as its factorization.

105367 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 105367 is about 324.6028342452. The cubic root of 105367 is about 47.2318407679.

Adding to 105367 its reverse (763501), we get a palindrome (868868).

The spelling of 105367 in words is "one hundred five thousand, three hundred sixty-seven".