105820119 has 18 divisors (see below), whose sum is σ = 156513240. Its totient is φ = 68895288.

The previous prime is 105820109. The next prime is 105820123. The reversal of 105820119 is 911028501.

It is not a de Polignac number, because 105820119 - 2⁷ = 105819991 is a prime.

It is a super-2 number, since 2×105820119² = 22395795170348322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105820092 and 105820101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105820109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13462 + ... + 19820.

It is an arithmetic number, because the mean of its divisors is an integer number (8695180).

Almost surely, 2^105820119 is an apocalyptic number.

105820119 is a deficient number, since it is larger than the sum of its proper divisors (50693121).

105820119 is an equidigital number, since it uses as much as digits as its factorization.

105820119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6451 (or 6405 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 105820119 is about 10286.8906380888. The cubic root of 105820119 is about 472.9944902939.

The spelling of 105820119 in words is "one hundred five million, eight hundred twenty thousand, one hundred nineteen".