107824 has 20 divisors (see below), whose sum is σ = 218736. Its totient is φ = 51392.

The previous prime is 107791. The next prime is 107827. The reversal of 107824 is 428701.

It is a junction number, because it is equal to n+sod(n) for n = 107795 and 107804.

It is not an unprimeable number, because it can be changed into a prime (107827) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 222 + ... + 514.

2¹⁰⁷⁸²⁴ 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 107824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109368).

107824 is an abundant number, since it is smaller than the sum of its proper divisors (110912).

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

107824 is a wasteful number, since it uses less digits than its factorization.

107824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 107824 is about 328.3656498478. The cubic root of 107824 is about 47.5961487363.

The spelling of 107824 in words is "one hundred seven thousand, eight hundred twenty-four".