102008 has 16 divisors (see below), whose sum is σ = 196560. Its totient is φ = 49600.

The previous prime is 102001. The next prime is 102013. The reversal of 102008 is 800201.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 102008.

It is a congruent number.

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

102008 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 3 ways as a sum of consecutive naturals, for example, 173 + ... + 483.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

2¹⁰²⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

102008 is a deficient number, since it is larger than the sum of its proper divisors (94552).

102008 is a wasteful number, since it uses less digits than its factorization.

102008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 102008 is about 319.3869126937. The cubic root of 102008 is about 46.7245087755.

Adding to 102008 its reverse (800201), we get a palindrome (902209).

The spelling of 102008 in words is "one hundred two thousand, eight".