108006 has 16 divisors (see below), whose sum is σ = 221184. Its totient is φ = 35144.

The previous prime is 107999. The next prime is 108007. The reversal of 108006 is 600801.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108007) 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, 91 + ... + 473.

It is an arithmetic number, because the mean of its divisors is an integer number (13824).

2¹⁰⁸⁰⁰⁶ is an apocalyptic number.

108006 is an abundant number, since it is smaller than the sum of its proper divisors (113178).

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

108006 is a wasteful number, since it uses less digits than its factorization.

108006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435.

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

The square root of 108006 is about 328.6426630856. The cubic root of 108006 is about 47.6229134322.

Adding to 108006 its reverse (600801), we get a palindrome (708807).

The spelling of 108006 in words is "one hundred eight thousand, six".