106886 has 8 divisors (see below), whose sum is σ = 172704. Its totient is φ = 49320.

The previous prime is 106877. The next prime is 106903. The reversal of 106886 is 688601.

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

It is a super-2 number, since 2×106886² = 22849233992, which contains 22 as substring.

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 106886.

It is an unprimeable number.

106886 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2030 + ... + 2081.

It is an arithmetic number, because the mean of its divisors is an integer number (21588).

2¹⁰⁶⁸⁸⁶ is an apocalyptic number.

106886 is a deficient number, since it is larger than the sum of its proper divisors (65818).

106886 is a wasteful number, since it uses less digits than its factorization.

106886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4126.

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 106886 is about 326.9342441532. The cubic root of 106886 is about 47.4577278578.

The spelling of 106886 in words is "one hundred six thousand, eight hundred eighty-six".