105619 has 2 divisors, whose sum is σ = 105620. Its totient is φ = 105618.

The previous prime is 105613. The next prime is 105649. The reversal of 105619 is 916501.

It is a weak prime.

It is an emirp because it is prime and its reverse (916501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105619 - 2⁷ = 105491 is a prime.

It is a super-2 number, since 2×105619² = 22310746322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105619.

It is not a weakly prime, because it can be changed into another prime (105613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52809 + 52810.

It is an arithmetic number, because the mean of its divisors is an integer number (52810).

2¹⁰⁵⁶¹⁹ is an apocalyptic number.

105619 is a deficient number, since it is larger than the sum of its proper divisors (1).

105619 is an equidigital number, since it uses as much as digits as its factorization.

105619 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 105619 is about 324.9907690997. The cubic root of 105619 is about 47.2694646529.

The spelling of 105619 in words is "one hundred five thousand, six hundred nineteen".