105553824 has 24 divisors (see below), whose sum is σ = 277079040. Its totient is φ = 35184576.

The previous prime is 105553817. The next prime is 105553829. The reversal of 105553824 is 428355501.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×105553824² = 22283219522045952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105553829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 549664 + ... + 549855.

It is an arithmetic number, because the mean of its divisors is an integer number (11544960).

Almost surely, 2^105553824 is an apocalyptic number.

It is an amenable number.

105553824 is an abundant number, since it is smaller than the sum of its proper divisors (171525216).

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

105553824 is a wasteful number, since it uses less digits than its factorization.

105553824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099532 (or 1099524 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 105553824 is about 10273.9390693151. The cubic root of 105553824 is about 472.5973954486.

The spelling of 105553824 in words is "one hundred five million, five hundred fifty-three thousand, eight hundred twenty-four".