106767 has 6 divisors (see below), whose sum is σ = 154232. Its totient is φ = 71172.

The previous prime is 106759. The next prime is 106781. The reversal of 106767 is 767601.

It is not a de Polignac number, because 106767 - 2³ = 106759 is a prime.

It is a super-2 number, since 2×106767² = 22798384578, which contains 22 as substring.

It is a Duffinian number.

106767 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 106767.

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 106767.

It is not an unprimeable number, because it can be changed into a prime (106727) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5923 + ... + 5940.

2¹⁰⁶⁷⁶⁷ is an apocalyptic number.

106767 is a deficient number, since it is larger than the sum of its proper divisors (47465).

106767 is a wasteful number, since it uses less digits than its factorization.

106767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11869 (or 11866 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 106767 is about 326.7521996866. The cubic root of 106767 is about 47.4401091901.

The spelling of 106767 in words is "one hundred six thousand, seven hundred sixty-seven".