106568 has 32 divisors (see below), whose sum is σ = 250560. Its totient is φ = 41280.

The previous prime is 106543. The next prime is 106591. The reversal of 106568 is 865601.

It is a super-2 number, since 2×106568² = 22713477248, which contains 22 as substring.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 530 + ... + 702.

It is an arithmetic number, because the mean of its divisors is an integer number (7830).

2¹⁰⁶⁵⁶⁸ 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 106568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125280).

106568 is an abundant number, since it is smaller than the sum of its proper divisors (143992).

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

106568 is a wasteful number, since it uses less digits than its factorization.

106568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 106568 is about 326.4475455567. The cubic root of 106568 is about 47.4106167653.

The spelling of 106568 in words is "one hundred six thousand, five hundred sixty-eight".