103566 has 16 divisors (see below), whose sum is σ = 212688. Its totient is φ = 33600.

The previous prime is 103561. The next prime is 103567. The reversal of 103566 is 665301.

It is a super-3 number, since 3×103566³ = 3332520759976488, which contains 333 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 36 + ... + 456.

It is an arithmetic number, because the mean of its divisors is an integer number (13293).

2¹⁰³⁵⁶⁶ is an apocalyptic number.

103566 is an abundant number, since it is smaller than the sum of its proper divisors (109122).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103566 is a wasteful number, since it uses less digits than its factorization.

103566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 103566 is about 321.8167180244. The cubic root of 103566 is about 46.9611872116.

Adding to 103566 its reverse (665301), we get a palindrome (768867).

The spelling of 103566 in words is "one hundred three thousand, five hundred sixty-six".