101563 has 8 divisors (see below), whose sum is σ = 126720. Its totient is φ = 79080.

The previous prime is 101561. The next prime is 101573. The reversal of 101563 is 365101.

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 101563 - 2¹ = 101561 is a prime.

101563 is a lucky number.

It is a plaindrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (101561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 583 + ... + 736.

It is an arithmetic number, because the mean of its divisors is an integer number (15840).

2¹⁰¹⁵⁶³ is an apocalyptic number.

101563 is a deficient number, since it is larger than the sum of its proper divisors (25157).

101563 is a wasteful number, since it uses less digits than its factorization.

101563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 101563 is about 318.6895040631. The cubic root of 101563 is about 46.6564660244.

Adding to 101563 its reverse (365101), we get a palindrome (466664).

The spelling of 101563 in words is "one hundred one thousand, five hundred sixty-three".