105919 has 4 divisors (see below), whose sum is σ = 115560. Its totient is φ = 96280.

The previous prime is 105913. The next prime is 105929. The reversal of 105919 is 919501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 919501 = 11 ⋅83591.

It is a cyclic number.

It is not a de Polignac number, because 105919 - 2⁹ = 105407 is a prime.

It is a super-2 number, since 2×105919² = 22437669122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105893 and 105902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4804 + ... + 4825.

It is an arithmetic number, because the mean of its divisors is an integer number (28890).

2¹⁰⁵⁹¹⁹ is an apocalyptic number.

105919 is a deficient number, since it is larger than the sum of its proper divisors (9641).

105919 is an equidigital number, since it uses as much as digits as its factorization.

105919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9640.

The product of its (nonzero) digits is 405, while the sum is 25.

The square root of 105919 is about 325.4519933877. The cubic root of 105919 is about 47.3141770441.

It can be divided in two parts, 105 and 919, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 105919 in words is "one hundred five thousand, nine hundred nineteen".