105107 has 2 divisors, whose sum is σ = 105108. Its totient is φ = 105106.

The previous prime is 105097. The next prime is 105137. The reversal of 105107 is 701501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105107 - 2⁸ = 104851 is a prime.

It is a super-2 number, since 2×105107² = 22094962898, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105091 and 105100.

It is not a weakly prime, because it can be changed into another prime (105137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52553 + 52554.

It is an arithmetic number, because the mean of its divisors is an integer number (52554).

2¹⁰⁵¹⁰⁷ is an apocalyptic number.

105107 is a deficient number, since it is larger than the sum of its proper divisors (1).

105107 is an equidigital number, since it uses as much as digits as its factorization.

105107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35, while the sum is 14.

The square root of 105107 is about 324.2020974639. The cubic root of 105107 is about 47.1929595455.

Adding to 105107 its reverse (701501), we get a palindrome (806608).

It can be divided in two parts, 105 and 107, that added together give a palindrome (212).

The spelling of 105107 in words is "one hundred five thousand, one hundred seven".