106968 has 16 divisors (see below), whose sum is σ = 267480. Its totient is φ = 35648.

The previous prime is 106963. The next prime is 106979. The reversal of 106968 is 869601.

It is a super-2 number, since 2×106968² = 22884306048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2205 + ... + 2252.

2¹⁰⁶⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

106968 is an abundant number, since it is smaller than the sum of its proper divisors (160512).

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

106968 is a wasteful number, since it uses less digits than its factorization.

106968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4466 (or 4462 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 106968 is about 327.0596275911. The cubic root of 106968 is about 47.4698608436.

The spelling of 106968 in words is "one hundred six thousand, nine hundred sixty-eight".