105405 has 8 divisors (see below), whose sum is σ = 168672. Its totient is φ = 56208.

The previous prime is 105401. The next prime is 105407. The reversal of 105405 is 504501.

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

It is not a de Polignac number, because 105405 - 2² = 105401 is a prime.

It is a super-2 number, since 2×105405² = 22220428050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 7027 = 105405 / (1 + 0 + 5 + 4 + 0 + 5).

105405 is a modest number, since divided by 405 gives 105 as remainder.

It is a Curzon number.

105405 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3499 + ... + 3528.

It is an arithmetic number, because the mean of its divisors is an integer number (21084).

2¹⁰⁵⁴⁰⁵ is an apocalyptic number.

105405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105405 is a deficient number, since it is larger than the sum of its proper divisors (63267).

105405 is an equidigital number, since it uses as much as digits as its factorization.

105405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7035.

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 105405 is about 324.6613620374. The cubic root of 105405 is about 47.2375180489.

Adding to 105405 its reverse (504501), we get a palindrome (609906).

The spelling of 105405 in words is "one hundred five thousand, four hundred five".