105008105 has 16 divisors (see below), whose sum is σ = 131134464. Its totient is φ = 80658240.

The previous prime is 105008083. The next prime is 105008119. The reversal of 105008105 is 501800501.

It is not a de Polignac number, because 105008105 - 2¹⁰ = 105007081 is a prime.

It is a super-2 number, since 2×105008105² = 22053404231382050, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8240 + ... + 16670.

It is an arithmetic number, because the mean of its divisors is an integer number (8195904).

Almost surely, 2^105008105 is an apocalyptic number.

It is an amenable number.

105008105 is a deficient number, since it is larger than the sum of its proper divisors (26126359).

105008105 is an equidigital number, since it uses as much as digits as its factorization.

105008105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8536.

The product of its (nonzero) digits is 200, while the sum is 20.

The square root of 105008105 is about 10247.3462418326. The cubic root of 105008105 is about 471.7815364208.

Adding to 105008105 its reverse (501800501), we get a palindrome (606808606).

The spelling of 105008105 in words is "one hundred five million, eight thousand, one hundred five".