102006 has 16 divisors (see below), whose sum is σ = 226800. Its totient is φ = 33984.

The previous prime is 102001. The next prime is 102013. The reversal of 102006 is 600201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001) by changing a digit.

102006 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, 891 + ... + 998.

It is an arithmetic number, because the mean of its divisors is an integer number (14175).

2¹⁰²⁰⁰⁶ is an apocalyptic number.

102006 is an abundant number, since it is smaller than the sum of its proper divisors (124794).

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

102006 is a wasteful number, since it uses less digits than its factorization.

102006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 102006 is about 319.3837816797. The cubic root of 102006 is about 46.7242034085.

Adding to 102006 its reverse (600201), we get a palindrome (702207).

It can be divided in two parts, 10 and 2006, that added together give a triangular number (2016 = T₆₃).

The spelling of 102006 in words is "one hundred two thousand, six".