103563 has 12 divisors (see below), whose sum is σ = 154128. Its totient is φ = 66960.

The previous prime is 103561. The next prime is 103567. The reversal of 103563 is 365301.

103563 is a `hidden beast` number, since 103 + 563 = 666.

103563 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 103563 - 2¹ = 103561 is a prime.

It is a super-3 number, since 3×103563³ = 3332231168623641, which contains 333 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (103561) 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, 178 + ... + 488.

It is an arithmetic number, because the mean of its divisors is an integer number (12844).

2¹⁰³⁵⁶³ is an apocalyptic number.

103563 is a deficient number, since it is larger than the sum of its proper divisors (50565).

103563 is a wasteful number, since it uses less digits than its factorization.

103563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 103563 is about 321.8120569525. The cubic root of 103563 is about 46.9607337651.

Adding to 103563 its reverse (365301), we get a palindrome (468864).

It can be divided in two parts, 103 and 563, that added together give a palindrome (666).

The spelling of 103563 in words is "one hundred three thousand, five hundred sixty-three".