103663 has 8 divisors (see below), whose sum is σ = 120960. Its totient is φ = 87000.

The previous prime is 103657. The next prime is 103669. The reversal of 103663 is 366301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103657) and next prime (103669).

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 103663 - 2¹³ = 95471 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 103663.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103669) 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 7 ways as a sum of consecutive naturals, for example, 288 + ... + 538.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2¹⁰³⁶⁶³ is an apocalyptic number.

103663 is a deficient number, since it is larger than the sum of its proper divisors (17297).

103663 is an equidigital number, since it uses as much as digits as its factorization.

103663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 103663 is about 321.9673896531. The cubic root of 103663 is about 46.9758439322.

Adding to 103663 its reverse (366301), we get a palindrome (469964).

The spelling of 103663 in words is "one hundred three thousand, six hundred sixty-three".