103105 has 8 divisors (see below), whose sum is σ = 131112. Its totient is φ = 77568.

The previous prime is 103099. The next prime is 103123. The reversal of 103105 is 501301.

103105 = 97² + 98² + ... + 106².

It can be written as a sum of positive squares in 4 ways, for example, as 3249 + 99856 = 57^2 + 316^2 .

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 103105 - 2⁹ = 102593 is a prime.

It is a Duffinian number.

103105 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 103091 and 103100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 522 + ... + 691.

It is an arithmetic number, because the mean of its divisors is an integer number (16389).

2¹⁰³¹⁰⁵ is an apocalyptic number.

It is an amenable number.

103105 is a deficient number, since it is larger than the sum of its proper divisors (28007).

103105 is a wasteful number, since it uses less digits than its factorization.

103105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235.

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 103105 is about 321.0996729989. The cubic root of 103105 is about 46.8914046286.

Adding to 103105 its reverse (501301), we get a palindrome (604406).

The spelling of 103105 in words is "one hundred three thousand, one hundred five".