101566 has 8 divisors (see below), whose sum is σ = 156024. Its totient is φ = 49560.

The previous prime is 101561. The next prime is 101573. The reversal of 101566 is 665101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a congruent number.

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

101566 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 505 + ... + 676.

It is an arithmetic number, because the mean of its divisors is an integer number (19503).

2¹⁰¹⁵⁶⁶ is an apocalyptic number.

101566 is a deficient number, since it is larger than the sum of its proper divisors (54458).

101566 is a wasteful number, since it uses less digits than its factorization.

101566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 101566 is about 318.6942108040. The cubic root of 101566 is about 46.6569254044.

Adding to 101566 its reverse (665101), we get a palindrome (766667).

It can be divided in two parts, 1015 and 66, that added together give a triangular number (1081 = T₄₆).

The spelling of 101566 in words is "one hundred one thousand, five hundred sixty-six".