107966 has 8 divisors (see below), whose sum is σ = 166440. Its totient is φ = 52488.

The previous prime is 107951. The next prime is 107971. The reversal of 107966 is 669701.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

107966 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 656 + ... + 803.

It is an arithmetic number, because the mean of its divisors is an integer number (20805).

2¹⁰⁷⁹⁶⁶ is an apocalyptic number.

107966 is a deficient number, since it is larger than the sum of its proper divisors (58474).

107966 is a wasteful number, since it uses less digits than its factorization.

107966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498.

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 107966 is about 328.5818010785. The cubic root of 107966 is about 47.6170336609.

The spelling of 107966 in words is "one hundred seven thousand, nine hundred sixty-six".