106967 has 12 divisors (see below), whose sum is σ = 129960. Its totient is φ = 87696.

The previous prime is 106963. The next prime is 106979. The reversal of 106967 is 769601.

It is a happy number.

It is not a de Polignac number, because 106967 - 2² = 106963 is a prime.

It is a super-2 number, since 2×106967² = 22883878178, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106967.

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 11 ways as a sum of consecutive naturals, for example, 1784 + ... + 1842.

It is an arithmetic number, because the mean of its divisors is an integer number (10830).

2¹⁰⁶⁹⁶⁷ is an apocalyptic number.

106967 is a deficient number, since it is larger than the sum of its proper divisors (22993).

106967 is an equidigital number, since it uses as much as digits as its factorization.

106967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 103 counting only the distinct ones).

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

The square root of 106967 is about 327.0580988143. The cubic root of 106967 is about 47.4697129177.

The spelling of 106967 in words is "one hundred six thousand, nine hundred sixty-seven".