103845 has 32 divisors (see below), whose sum is σ = 202752. Its totient is φ = 44352.

The previous prime is 103843. The next prime is 103867. The reversal of 103845 is 548301.

It is not a de Polignac number, because 103845 - 2¹ = 103843 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

103845 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103841) 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, 2394 + ... + 2436.

It is an arithmetic number, because the mean of its divisors is an integer number (6336).

2¹⁰³⁸⁴⁵ is an apocalyptic number.

103845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103845 is a deficient number, since it is larger than the sum of its proper divisors (98907).

103845 is a wasteful number, since it uses less digits than its factorization.

103845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 103845 is about 322.2499030256. The cubic root of 103845 is about 47.0033195181.

The spelling of 103845 in words is "one hundred three thousand, eight hundred forty-five".