168105 has 16 divisors (see below), whose sum is σ = 307584. Its totient is φ = 76800.

The previous prime is 168089. The next prime is 168109. The reversal of 168105 is 501861.

168105 = 88² + 89² + ... + 105².

It is not a de Polignac number, because 168105 - 2⁴ = 168089 is a prime.

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

It is an Ulam number.

It is a Curzon number.

168105 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 168105.

It is not an unprimeable number, because it can be changed into a prime (168109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 696 + ... + 905.

It is an arithmetic number, because the mean of its divisors is an integer number (19224).

2¹⁶⁸¹⁰⁵ is an apocalyptic number.

168105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

168105 is a deficient number, since it is larger than the sum of its proper divisors (139479).

168105 is a wasteful number, since it uses less digits than its factorization.

168105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616.

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

The square root of 168105 is about 410.0060975156. The cubic root of 168105 is about 55.1899766510.

Adding to 168105 its reverse (501861), we get a palindrome (669966).

The spelling of 168105 in words is "one hundred sixty-eight thousand, one hundred five".