105008 has 10 divisors (see below), whose sum is σ = 203484. Its totient is φ = 52496.

The previous prime is 104999. The next prime is 105019. The reversal of 105008 is 800501.

It is a super-2 number, since 2×105008² = 22053360128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104983 and 105001.

It is an unprimeable number.

105008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3266 + ... + 3297.

2¹⁰⁵⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

105008 is a deficient number, since it is larger than the sum of its proper divisors (98476).

105008 is an equidigital number, since it uses as much as digits as its factorization.

105008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6571 (or 6565 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 105008 is about 324.0493789533. The cubic root of 105008 is about 47.1781379172.

Adding to 105008 its reverse (800501), we get a palindrome (905509).

The spelling of 105008 in words is "one hundred five thousand, eight".