107424 has 36 divisors (see below), whose sum is σ = 306306. Its totient is φ = 35712.

The previous prime is 107377. The next prime is 107441. The reversal of 107424 is 424701.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 90000 + 17424 = 300^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 107397 and 107406.

It is an unprimeable 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 5 ways as a sum of consecutive naturals, for example, 102 + ... + 474.

2¹⁰⁷⁴²⁴ 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 107424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153153).

107424 is an abundant number, since it is smaller than the sum of its proper divisors (198882).

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

107424 is a wasteful number, since it uses less digits than its factorization.

107424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 107424 is about 327.7560068099. The cubic root of 107424 is about 47.5372192129.

The spelling of 107424 in words is "one hundred seven thousand, four hundred twenty-four", and thus it is an iban number.