103905 has 12 divisors (see below), whose sum is σ = 180180. Its totient is φ = 55392.

The previous prime is 103903. The next prime is 103913. The reversal of 103905 is 509301.

It can be written as a sum of positive squares in 2 ways, for example, as 63504 + 40401 = 252^2 + 201^2 .

It is not a de Polignac number, because 103905 - 2¹ = 103903 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1110 + ... + 1199.

It is an arithmetic number, because the mean of its divisors is an integer number (15015).

2¹⁰³⁹⁰⁵ is an apocalyptic number.

103905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103905 is a deficient number, since it is larger than the sum of its proper divisors (76275).

103905 is a wasteful number, since it uses less digits than its factorization.

103905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 103905 is about 322.3429850330. The cubic root of 103905 is about 47.0123703669.

The spelling of 103905 in words is "one hundred three thousand, nine hundred five".