105042384 has 60 divisors (see below), whose sum is σ = 303468672. Its totient is φ = 33883200.

The previous prime is 105042347. The next prime is 105042389. The reversal of 105042384 is 483240501.

It is a super-2 number, since 2×105042384² = 22067804872806912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105042389) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7302 + ... + 16229.

Almost surely, 2^105042384 is an apocalyptic number.

It is an amenable number.

105042384 is an abundant number, since it is smaller than the sum of its proper divisors (198426288).

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

105042384 is a wasteful number, since it uses less digits than its factorization.

105042384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23576 (or 23567 counting only the distinct ones).

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

The square root of 105042384 is about 10249.0186847327. The cubic root of 105042384 is about 471.8328671883.

Adding to 105042384 its reverse (483240501), we get a palindrome (588282885).

It can be divided in two parts, 1050 and 42384, that added together give a palindrome (43434).

The spelling of 105042384 in words is "one hundred five million, forty-two thousand, three hundred eighty-four".