106887 has 16 divisors (see below), whose sum is σ = 161280. Its totient is φ = 62400.

The previous prime is 106877. The next prime is 106903. The reversal of 106887 is 788601.

It is not a de Polignac number, because 106887 - 2⁴ = 106871 is a prime.

It is a super-2 number, since 2×106887² = 22849661538, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106867) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1314 + ... + 1392.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2¹⁰⁶⁸⁸⁷ is an apocalyptic number.

106887 is a deficient number, since it is larger than the sum of its proper divisors (54393).

106887 is a wasteful number, since it uses less digits than its factorization.

106887 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134.

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 106887 is about 326.9357735091. The cubic root of 106887 is about 47.4578758584.

The spelling of 106887 in words is "one hundred six thousand, eight hundred eighty-seven".