110819 has 2 divisors, whose sum is σ = 110820. Its totient is φ = 110818.

The previous prime is 110813. The next prime is 110821. The reversal of 110819 is 918011.

It is a strong prime.

It is an emirp because it is prime and its reverse (918011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110819 - 2⁸ = 110563 is a prime.

It is a super-2 number, since 2×110819² = 24561701522, which contains 22 as substring.

Together with 110821, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110819.

It is not a weakly prime, because it can be changed into another prime (110813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55409 + 55410.

It is an arithmetic number, because the mean of its divisors is an integer number (55410).

2¹¹⁰⁸¹⁹ is an apocalyptic number.

110819 is a deficient number, since it is larger than the sum of its proper divisors (1).

110819 is an equidigital number, since it uses as much as digits as its factorization.

110819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The square root of 110819 is about 332.8948783024. The cubic root of 110819 is about 48.0328189908.

It can be divided in two parts, 110 and 819, that added together give a palindrome (929).

The spelling of 110819 in words is "one hundred ten thousand, eight hundred nineteen".