106824 has 16 divisors (see below), whose sum is σ = 267120. Its totient is φ = 35600.

The previous prime is 106823. The next prime is 106853. The reversal of 106824 is 428601.

It is a super-2 number, since 2×106824² = 22822733952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106824.

It is not an unprimeable number, because it can be changed into a prime (106823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2202 + ... + 2249.

It is an arithmetic number, because the mean of its divisors is an integer number (16695).

2¹⁰⁶⁸²⁴ is an apocalyptic number.

It is an amenable number.

106824 is an abundant number, since it is smaller than the sum of its proper divisors (160296).

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

106824 is a wasteful number, since it uses less digits than its factorization.

106824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4460 (or 4456 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 106824 is about 326.8394101084. The cubic root of 106824 is about 47.4485500165.

The spelling of 106824 in words is "one hundred six thousand, eight hundred twenty-four".