106677 has 12 divisors (see below), whose sum is σ = 160160. Its totient is φ = 70956.

The previous prime is 106669. The next prime is 106681. The reversal of 106677 is 776601.

It is not a de Polignac number, because 106677 - 2^{3} = 106669 is a prime.

It is a super-2 number, since 2×106677^{2} = 22759964658, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number *n* which added to its sum of digits gives 106677.

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 106677.

It is not an unprimeable number, because it can be changed into a prime (106627) 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, 24 + ... + 462.

2^{106677} is an apocalyptic number.

It is an amenable number.

106677 is a deficient number, since it is larger than the sum of its proper divisors (53483).

106677 is an frugal number, since it uses more digits than its factorization.

106677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 442 counting only the distinct ones).

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

The square root of 106677 is about 326.6144516092. The cubic root of 106677 is about 47.4267754506.

The spelling of 106677 in words is "one hundred six thousand, six hundred seventy-seven".

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