105105 has 48 divisors (see below), whose sum is σ = 229824. Its totient is φ = 40320.

The previous prime is 105097. The next prime is 105107. The reversal of 105105 is 501501.

105105 is nontrivially palindromic in base 16.

It is not a de Polignac number, because 105105 - 2³ = 105097 is a prime.

It is a super-2 number, since 2×105105² = 22094122050, which contains 22 as substring.

105105 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8079 + ... + 8091.

It is an arithmetic number, because the mean of its divisors is an integer number (4788).

2¹⁰⁵¹⁰⁵ is an apocalyptic number.

105105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105105 is an abundant number, since it is smaller than the sum of its proper divisors (124719).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105105 is a wasteful number, since it uses less digits than its factorization.

105105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 105105 is about 324.1990129535. The cubic root of 105105 is about 47.1926602108.

Adding to 105105 its reverse (501501), we get a palindrome (606606).

It can be divided in two parts, 105 and 105, that added together give a triangular number (210 = T₂₀).

The spelling of 105105 in words is "one hundred five thousand, one hundred five".