105435535424 has 28 divisors (see below), whose sum is σ = 215972794368. Its totient is φ = 51017193600.

The previous prime is 105435535397. The next prime is 105435535441. The reversal of 105435535424 is 424535534501.

It is a super-2 number, since 2×105435535424² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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, 26569472 + ... + 26573439.

Almost surely, 2^105435535424 is an apocalyptic number.

It is an amenable number.

105435535424 is an abundant number, since it is smaller than the sum of its proper divisors (110537258944).

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

105435535424 is an equidigital number, since it uses as much as digits as its factorization.

105435535424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53142954 (or 53142944 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 41.

The spelling of 105435535424 in words is "one hundred five billion, four hundred thirty-five million, five hundred thirty-five thousand, four hundred twenty-four".