105667 has 2 divisors, whose sum is σ = 105668. Its totient is φ = 105666.

The previous prime is 105653. The next prime is 105673. The reversal of 105667 is 766501.

It is a strong prime.

It is an emirp because it is prime and its reverse (766501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105667 - 2¹¹ = 103619 is a prime.

It is a super-2 number, since 2×105667² = 22331029778, which contains 22 as substring.

It is a zygodrome in base 2.

It is not a weakly prime, because it can be changed into another prime (105607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52833 + 52834.

It is an arithmetic number, because the mean of its divisors is an integer number (52834).

2¹⁰⁵⁶⁶⁷ is an apocalyptic number.

105667 is a deficient number, since it is larger than the sum of its proper divisors (1).

105667 is an equidigital number, since it uses as much as digits as its factorization.

105667 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 105667 is about 325.0646089626. The cubic root of 105667 is about 47.2766243201.

The spelling of 105667 in words is "one hundred five thousand, six hundred sixty-seven".