107105 has 8 divisors (see below), whose sum is σ = 132864. Its totient is φ = 82800.

The previous prime is 107101. The next prime is 107119. The reversal of 107105 is 501701.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 107105 - 2² = 107101 is a prime.

It is a super-2 number, since 2×107105² = 22942962050, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 107105.

It is not an unprimeable number, because it can be changed into a prime (107101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191 + ... + 500.

It is an arithmetic number, because the mean of its divisors is an integer number (16608).

2¹⁰⁷¹⁰⁵ is an apocalyptic number.

It is an amenable number.

107105 is a deficient number, since it is larger than the sum of its proper divisors (25759).

107105 is an equidigital number, since it uses as much as digits as its factorization.

107105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727.

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

The square root of 107105 is about 327.2690025041. The cubic root of 107105 is about 47.4901179812.

Adding to 107105 its reverse (501701), we get a palindrome (608806).

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

The spelling of 107105 in words is "one hundred seven thousand, one hundred five".