106966 has 8 divisors (see below), whose sum is σ = 162720. Its totient is φ = 52728.

The previous prime is 106963. The next prime is 106979. The reversal of 106966 is 669601.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×106966² = 22883450312, 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, 181 + ... + 496.

It is an arithmetic number, because the mean of its divisors is an integer number (20340).

2¹⁰⁶⁹⁶⁶ is an apocalyptic number.

106966 is a deficient number, since it is larger than the sum of its proper divisors (55754).

106966 is an equidigital number, since it uses as much as digits as its factorization.

106966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758.

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 106966 is about 327.0565700303. The cubic root of 106966 is about 47.4695649909.

The spelling of 106966 in words is "one hundred six thousand, nine hundred sixty-six".