106008 has 32 divisors (see below), whose sum is σ = 303360. Its totient is φ = 30240.

The previous prime is 105997. The next prime is 106013. The reversal of 106008 is 800601.

It is a super-2 number, since 2×106008² = 22475392128, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

106008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148 + ... + 483.

It is an arithmetic number, because the mean of its divisors is an integer number (9480).

2¹⁰⁶⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

106008 is an abundant number, since it is smaller than the sum of its proper divisors (197352).

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

106008 is a wasteful number, since it uses less digits than its factorization.

106008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 106008 is about 325.5886975925. The cubic root of 106008 is about 47.3274254788.

Adding to 106008 its reverse (800601), we get a palindrome (906609).

The spelling of 106008 in words is "one hundred six thousand, eight".