100824 has 16 divisors (see below), whose sum is σ = 252120. Its totient is φ = 33600.

The previous prime is 100823. The next prime is 100829. The reversal of 100824 is 428001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100823) 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, 2077 + ... + 2124.

2¹⁰⁰⁸²⁴ is an apocalyptic number.

It is an amenable number.

100824 is an abundant number, since it is smaller than the sum of its proper divisors (151296).

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

100824 is a wasteful number, since it uses less digits than its factorization.

100824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4210 (or 4206 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 100824 is about 317.5279515255. The cubic root of 100824 is about 46.5430287340.

Adding to 100824 its reverse (428001), we get a palindrome (528825).

The spelling of 100824 in words is "one hundred thousand, eight hundred twenty-four".