106854 has 16 divisors (see below), whose sum is σ = 233280. Its totient is φ = 32360.

The previous prime is 106853. The next prime is 106859. The reversal of 106854 is 458601.

It is a super-2 number, since 2×106854² = 22835554632, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106853) 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, 744 + ... + 875.

It is an arithmetic number, because the mean of its divisors is an integer number (14580).

2¹⁰⁶⁸⁵⁴ is an apocalyptic number.

106854 is an abundant number, since it is smaller than the sum of its proper divisors (126426).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106854 is a wasteful number, since it uses less digits than its factorization.

106854 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 106854 is about 326.8853009849. The cubic root of 106854 is about 47.4529913508.

The spelling of 106854 in words is "one hundred six thousand, eight hundred fifty-four".