106268 has 12 divisors (see below), whose sum is σ = 192192. Its totient is φ = 51360.

The previous prime is 106261. The next prime is 106273. The reversal of 106268 is 862601.

It is a super-2 number, since 2×106268² = 22585775648, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106261) by changing a digit.

106268 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 in 3 ways as a sum of consecutive naturals, for example, 305 + ... + 552.

It is an arithmetic number, because the mean of its divisors is an integer number (16016).

2¹⁰⁶²⁶⁸ is an apocalyptic number.

It is an amenable number.

106268 is a deficient number, since it is larger than the sum of its proper divisors (85924).

106268 is a wasteful number, since it uses less digits than its factorization.

106268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 106268 is about 325.9877298304. The cubic root of 106268 is about 47.3660863480.

Adding to 106268 its reverse (862601), we get a palindrome (968869).

The spelling of 106268 in words is "one hundred six thousand, two hundred sixty-eight".