105668 has 6 divisors (see below), whose sum is σ = 184926. Its totient is φ = 52832.

The previous prime is 105667. The next prime is 105673. The reversal of 105668 is 866501.

It can be written as a sum of positive squares in only one way, i.e., 73984 + 31684 = 272^2 + 178^2 .

It is a super-2 number, since 2×105668² = 22331452448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105667) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13205 + ... + 13212.

It is an arithmetic number, because the mean of its divisors is an integer number (30821).

2¹⁰⁵⁶⁶⁸ is an apocalyptic number.

It is an amenable number.

105668 is a deficient number, since it is larger than the sum of its proper divisors (79258).

105668 is a wasteful number, since it uses less digits than its factorization.

105668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26421 (or 26419 counting only the distinct ones).

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

The square root of 105668 is about 325.0661471147. The cubic root of 105668 is about 47.2767734568.

The spelling of 105668 in words is "one hundred five thousand, six hundred sixty-eight".