107005 has 4 divisors (see below), whose sum is σ = 128412. Its totient is φ = 85600.

The previous prime is 106993. The next prime is 107021. The reversal of 107005 is 500701.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 500701 = 17 ⋅29453.

It can be written as a sum of positive squares in 2 ways, for example, as 30276 + 76729 = 174^2 + 277^2 .

It is not a de Polignac number, because 107005 - 2⁷ = 106877 is a prime.

It is a super-2 number, since 2×107005² = 22900140050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (13) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10696 + ... + 10705.

It is an arithmetic number, because the mean of its divisors is an integer number (32103).

2¹⁰⁷⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

107005 is a deficient number, since it is larger than the sum of its proper divisors (21407).

107005 is an equidigital number, since it uses as much as digits as its factorization.

107005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21406.

The product of its (nonzero) digits is 35, while the sum is 13.

The square root of 107005 is about 327.1161873096. The cubic root of 107005 is about 47.4753334534.

Adding to 107005 its reverse (500701), we get a palindrome (607706).

The spelling of 107005 in words is "one hundred seven thousand, five".