106881 has 8 divisors (see below), whose sum is σ = 148800. Its totient is φ = 68112.

The previous prime is 106877. The next prime is 106903. The reversal of 106881 is 188601.

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

It is not a de Polignac number, because 106881 - 2² = 106877 is a prime.

It is a super-2 number, since 2×106881² = 22847096322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 706 + ... + 843.

It is an arithmetic number, because the mean of its divisors is an integer number (18600).

2¹⁰⁶⁸⁸¹ is an apocalyptic number.

It is an amenable number.

106881 is a deficient number, since it is larger than the sum of its proper divisors (41919).

106881 is a wasteful number, since it uses less digits than its factorization.

106881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575.

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 106881 is about 326.9265972661. The cubic root of 106881 is about 47.4569878409.

The spelling of 106881 in words is "one hundred six thousand, eight hundred eighty-one".