103816 has 16 divisors (see below), whose sum is σ = 205200. Its totient is φ = 49104.

The previous prime is 103813. The next prime is 103837. The reversal of 103816 is 618301.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 103793 and 103802.

It is not an unprimeable number, because it can be changed into a prime (103811) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 190 + ... + 493.

It is an arithmetic number, because the mean of its divisors is an integer number (12825).

2¹⁰³⁸¹⁶ is an apocalyptic number.

It is an amenable number.

103816 is a deficient number, since it is larger than the sum of its proper divisors (101384).

103816 is a wasteful number, since it uses less digits than its factorization.

103816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 103816 is about 322.2049037492. The cubic root of 103816 is about 46.9989436914.

It can be divided in two parts, 103 and 816, that multiplied together give a palindrome (84048).

The spelling of 103816 in words is "one hundred three thousand, eight hundred sixteen".