105830819 has 2 divisors, whose sum is σ = 105830820. Its totient is φ = 105830818.

The previous prime is 105830759. The next prime is 105830833. The reversal of 105830819 is 918038501.

It is a strong prime.

It is an emirp because it is prime and its reverse (918038501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105830819 - 2⁸ = 105830563 is a prime.

It is a super-2 number, since 2×105830819² = 22400324500421522, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105832819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52915409 + 52915410.

It is an arithmetic number, because the mean of its divisors is an integer number (52915410).

Almost surely, 2^105830819 is an apocalyptic number.

105830819 is a deficient number, since it is larger than the sum of its proper divisors (1).

105830819 is an equidigital number, since it uses as much as digits as its factorization.

105830819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 35.

The square root of 105830819 is about 10287.4107043512. The cubic root of 105830819 is about 473.0104320340.

The spelling of 105830819 in words is "one hundred five million, eight hundred thirty thousand, eight hundred nineteen".