103005 has 32 divisors (see below), whose sum is σ = 211200. Its totient is φ = 46656.

The previous prime is 103001. The next prime is 103007. The reversal of 103005 is 500301.

It is not a de Polignac number, because 103005 - 2² = 103001 is a prime.

It is a super-2 number, since 2×103005² = 21220060050, which contains 22 as substring.

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

103005 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 891 + ... + 999.

It is an arithmetic number, because the mean of its divisors is an integer number (6600).

2¹⁰³⁰⁰⁵ is an apocalyptic number.

103005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103005 is an abundant number, since it is smaller than the sum of its proper divisors (108195).

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

103005 is a wasteful number, since it uses less digits than its factorization.

103005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 103005 is about 320.9439203350. The cubic root of 103005 is about 46.8762399672.

Adding to 103005 its reverse (500301), we get a palindrome (603306).

The spelling of 103005 in words is "one hundred three thousand, five".