105843424 has 48 divisors (see below), whose sum is σ = 224501760. Its totient is φ = 48977280.

The previous prime is 105843407. The next prime is 105843443. The reversal of 105843424 is 424348501.

It is a super-2 number, since 2×105843424² = 22405660808087552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20497 + ... + 25135.

It is an arithmetic number, because the mean of its divisors is an integer number (4677120).

Almost surely, 2^105843424 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 105843424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112250880).

105843424 is an abundant number, since it is smaller than the sum of its proper divisors (118658336).

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

105843424 is a wasteful number, since it uses less digits than its factorization.

105843424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4703 (or 4695 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 105843424 is about 10288.0233281229. The cubic root of 105843424 is about 473.0292106212.

The spelling of 105843424 in words is "one hundred five million, eight hundred forty-three thousand, four hundred twenty-four".