101568 has 42 divisors (see below), whose sum is σ = 280924. Its totient is φ = 32384.

The previous prime is 101561. The next prime is 101573. The reversal of 101568 is 865101.

It is a plaindrome in base 5.

It is a zygodrome in base 2 and 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 5 ways as a sum of consecutive naturals, for example, 4405 + ... + 4427.

2¹⁰¹⁵⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140462).

101568 is an abundant number, since it is smaller than the sum of its proper divisors (179356).

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

101568 is an equidigital number, since it uses as much as digits as its factorization.

101568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 101568 is about 318.6973485927. The cubic root of 101568 is about 46.6572316527.

Adding to 101568 its reverse (865101), we get a palindrome (966669).

The spelling of 101568 in words is "one hundred one thousand, five hundred sixty-eight".