106836 has 24 divisors (see below), whose sum is σ = 258720. Its totient is φ = 34272.

The previous prime is 106823. The next prime is 106853. The reversal of 106836 is 638601.

It is a super-2 number, since 2×106836² = 22827861792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

106836 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 7 ways as a sum of consecutive naturals, for example, 195 + ... + 501.

It is an arithmetic number, because the mean of its divisors is an integer number (10780).

2¹⁰⁶⁸³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129360).

106836 is an abundant number, since it is smaller than the sum of its proper divisors (151884).

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

106836 is a wasteful number, since it uses less digits than its factorization.

106836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 106836 is about 326.8577672322. The cubic root of 106836 is about 47.4503266500.

The spelling of 106836 in words is "one hundred six thousand, eight hundred thirty-six".