105068 has 6 divisors (see below), whose sum is σ = 183876. Its totient is φ = 52532.

The previous prime is 105037. The next prime is 105071. The reversal of 105068 is 860501.

It is a super-2 number, since 2×105068² = 22078569248, which contains 22 as substring.

It is an unprimeable number.

105068 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 as a sum of consecutive naturals, namely, 13130 + ... + 13137.

It is an arithmetic number, because the mean of its divisors is an integer number (30646).

2¹⁰⁵⁰⁶⁸ is an apocalyptic number.

It is an amenable number.

105068 is a deficient number, since it is larger than the sum of its proper divisors (78808).

105068 is a wasteful number, since it uses less digits than its factorization.

105068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26271 (or 26269 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 105068 is about 324.1419442158. The cubic root of 105068 is about 47.1871218337.

Adding to 105068 its reverse (860501), we get a palindrome (965569).

It can be divided in two parts, 10506 and 8, that multiplied together give a palindrome (84048).

The spelling of 105068 in words is "one hundred five thousand, sixty-eight".