105019 has 2 divisors, whose sum is σ = 105020. Its totient is φ = 105018.

The previous prime is 104999. The next prime is 105023. The reversal of 105019 is 910501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105019 - 2⁵ = 104987 is a prime.

It is a super-2 number, since 2×105019² = 22057980722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104993 and 105011.

It is not a weakly prime, because it can be changed into another prime (105319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52509 + 52510.

It is an arithmetic number, because the mean of its divisors is an integer number (52510).

2¹⁰⁵⁰¹⁹ is an apocalyptic number.

105019 is a deficient number, since it is larger than the sum of its proper divisors (1).

105019 is an equidigital number, since it uses as much as digits as its factorization.

105019 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45, while the sum is 16.

The square root of 105019 is about 324.0663512307. The cubic root of 105019 is about 47.1797852247.

The spelling of 105019 in words is "one hundred five thousand, nineteen".