105168 has 40 divisors (see below), whose sum is σ = 311488. Its totient is φ = 29952.

The previous prime is 105167. The next prime is 105173. The reversal of 105168 is 861501.

It is a super-2 number, since 2×105168² = 22120616448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105167) 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, 180 + ... + 492.

2¹⁰⁵¹⁶⁸ 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 105168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155744).

105168 is an abundant number, since it is smaller than the sum of its proper divisors (206320).

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

105168 is a wasteful number, since it uses less digits than its factorization.

105168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 325 counting only the distinct ones).

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

The square root of 105168 is about 324.2961609393. The cubic root of 105168 is about 47.2020874304.

Adding to 105168 its reverse (861501), we get a palindrome (966669).

The spelling of 105168 in words is "one hundred five thousand, one hundred sixty-eight".