105403824 has 120 divisors (see below), whose sum is σ = 308240192. Its totient is φ = 33592320.

The previous prime is 105403819. The next prime is 105403843. The reversal of 105403824 is 428304501.

It is a super-2 number, since 2×105403824² = 22219932227645952, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388809 + ... + 389079.

Almost surely, 2^105403824 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 105403824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154120096).

105403824 is an abundant number, since it is smaller than the sum of its proper divisors (202836368).

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

105403824 is a wasteful number, since it uses less digits than its factorization.

105403824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 105403824 is about 10266.6364501720. The cubic root of 105403824 is about 472.3734237249.

The spelling of 105403824 in words is "one hundred five million, four hundred three thousand, eight hundred twenty-four".