102005 has 8 divisors (see below), whose sum is σ = 127872. Its totient is φ = 77968.

The previous prime is 102001. The next prime is 102013. The reversal of 102005 is 500201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102005 - 2² = 102001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101983 and 102001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001) 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, 329 + ... + 558.

It is an arithmetic number, because the mean of its divisors is an integer number (15984).

2¹⁰²⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

102005 is a deficient number, since it is larger than the sum of its proper divisors (25867).

102005 is an equidigital number, since it uses as much as digits as its factorization.

102005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915.

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 102005 is about 319.3822161611. The cubic root of 102005 is about 46.7240507235.

Adding to 102005 its reverse (500201), we get a palindrome (602206).

The spelling of 102005 in words is "one hundred two thousand, five".