100563 has 4 divisors (see below), whose sum is σ = 134088. Its totient is φ = 67040.

The previous prime is 100559. The next prime is 100591. The reversal of 100563 is 365001.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 100563 - 2² = 100559 is a prime.

It is a super-2 number, since 2×100563² = 20225833938, which contains 22 as substring.

It is a D-number.

100563 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (100523) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16758 + ... + 16763.

It is an arithmetic number, because the mean of its divisors is an integer number (33522).

2¹⁰⁰⁵⁶³ is an apocalyptic number.

100563 is a deficient number, since it is larger than the sum of its proper divisors (33525).

100563 is an equidigital number, since it uses as much as digits as its factorization.

100563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33524.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 100563 is about 317.1166977628. The cubic root of 100563 is about 46.5028325249.

Adding to 100563 its reverse (365001), we get a palindrome (465564).

The spelling of 100563 in words is "one hundred thousand, five hundred sixty-three".