105007 has 6 divisors (see below), whose sum is σ = 122208. Its totient is φ = 89964.

The previous prime is 104999. The next prime is 105019. The reversal of 105007 is 700501.

It is not a de Polignac number, because 105007 - 2³ = 104999 is a prime.

It is a super-2 number, since 2×105007² = 22052940098, which contains 22 as substring.

It is a Duffinian number.

105007 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105037) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1023 + ... + 1120.

It is an arithmetic number, because the mean of its divisors is an integer number (20368).

2¹⁰⁵⁰⁰⁷ is an apocalyptic number.

105007 is a deficient number, since it is larger than the sum of its proper divisors (17201).

105007 is an equidigital number, since it uses as much as digits as its factorization.

105007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2150 counting only the distinct ones).

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

The square root of 105007 is about 324.0478359749. The cubic root of 105007 is about 47.1779881563.

Adding to 105007 its reverse (700501), we get a palindrome (805508).

The spelling of 105007 in words is "one hundred five thousand, seven".