107844 has 48 divisors (see below), whose sum is σ = 295680. Its totient is φ = 30240.

The previous prime is 107843. The next prime is 107857. The reversal of 107844 is 448701.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

107844 is an undulating number in base 7.

It is not an unprimeable number, because it can be changed into a prime (107843) 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 15 ways as a sum of consecutive naturals, for example, 2487 + ... + 2529.

It is an arithmetic number, because the mean of its divisors is an integer number (6160).

2¹⁰⁷⁸⁴⁴ 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 107844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147840).

107844 is an abundant number, since it is smaller than the sum of its proper divisors (187836).

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

107844 is a wasteful number, since it uses less digits than its factorization.

107844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 107844 is about 328.3961022911. The cubic root of 107844 is about 47.5990913839.

The spelling of 107844 in words is "one hundred seven thousand, eight hundred forty-four".