105005105 has 4 divisors (see below), whose sum is σ = 126006132. Its totient is φ = 84004080.

The previous prime is 105005099. The next prime is 105005111. The reversal of 105005105 is 501500501.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (105005099) and next prime (105005111).

It can be written as a sum of positive squares in 2 ways, for example, as 37173409 + 67831696 = 6097^2 + 8236^2 .

It is not a de Polignac number, because 105005105 - 2²⁰ = 103956529 is a prime.

It is a super-2 number, since 2×105005105² = 22052144152122050, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10500506 + ... + 10500515.

It is an arithmetic number, because the mean of its divisors is an integer number (31501533).

Almost surely, 2^105005105 is an apocalyptic number.

It is an amenable number.

105005105 is a deficient number, since it is larger than the sum of its proper divisors (21001027).

105005105 is an equidigital number, since it uses as much as digits as its factorization.

105005105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21001026.

The product of its (nonzero) digits is 125, while the sum is 17.

The square root of 105005105 is about 10247.1998614256. The cubic root of 105005105 is about 471.7770435674. Note that the first 3 decimals are identical.

Adding to 105005105 its reverse (501500501), we get a palindrome (606505606).

The spelling of 105005105 in words is "one hundred five million, five thousand, one hundred five".