105820117 has 4 divisors (see below), whose sum is σ = 113960140. Its totient is φ = 97680096.

The previous prime is 105820109. The next prime is 105820123. The reversal of 105820117 is 711028501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 72573361 + 33246756 = 8519^2 + 5766^2 .

It is a cyclic number.

It is not a de Polignac number, because 105820117 - 2³ = 105820109 is a prime.

It is a super-2 number, since 2×105820117² = 22395794323787378, 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 = 105820091 and 105820100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105820147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4069992 + ... + 4070017.

It is an arithmetic number, because the mean of its divisors is an integer number (28490035).

Almost surely, 2^105820117 is an apocalyptic number.

It is an amenable number.

105820117 is a deficient number, since it is larger than the sum of its proper divisors (8140023).

105820117 is an equidigital number, since it uses as much as digits as its factorization.

105820117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8140022.

The product of its (nonzero) digits is 560, while the sum is 25.

The square root of 105820117 is about 10286.8905408777. The cubic root of 105820117 is about 472.9944873141.

Adding to 105820117 its reverse (711028501), we get a palindrome (816848618).

The spelling of 105820117 in words is "one hundred five million, eight hundred twenty thousand, one hundred seventeen".