105424 has 20 divisors (see below), whose sum is σ = 223200. Its totient is φ = 47840.

The previous prime is 105407. The next prime is 105437. The reversal of 105424 is 424501.

It is a super-2 number, since 2×105424² = 22228439552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 105398 and 105407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 124 + ... + 475.

It is an arithmetic number, because the mean of its divisors is an integer number (11160).

2¹⁰⁵⁴²⁴ is an apocalyptic number.

It is an amenable number.

105424 is an abundant number, since it is smaller than the sum of its proper divisors (117776).

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

105424 is a wasteful number, since it uses less digits than its factorization.

105424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 105424 is about 324.6906219773. The cubic root of 105424 is about 47.2403561778.

Adding to 105424 its reverse (424501), we get a palindrome (529925).

It can be divided in two parts, 105 and 424, that added together give a square (529 = 23²).

The spelling of 105424 in words is "one hundred five thousand, four hundred twenty-four".