103806 has 24 divisors (see below), whose sum is σ = 230880. Its totient is φ = 33696.

The previous prime is 103801. The next prime is 103811. The reversal of 103806 is 608301.

It is an interprime number because it is at equal distance from previous prime (103801) and next prime (103811).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1275 + ... + 1353.

It is an arithmetic number, because the mean of its divisors is an integer number (9620).

2¹⁰³⁸⁰⁶ is an apocalyptic number.

103806 is an abundant number, since it is smaller than the sum of its proper divisors (127074).

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

103806 is a wasteful number, since it uses less digits than its factorization.

103806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 103806 is about 322.1893853000. The cubic root of 103806 is about 46.9974345967.

It can be divided in two parts, 103 and 806, that added together give a palindrome (909).

The spelling of 103806 in words is "one hundred three thousand, eight hundred six".