105353335824 has 80 divisors (see below), whose sum is σ = 306482479104. Its totient is φ = 30895401600.

The previous prime is 105353335823. The next prime is 105353335831. The reversal of 105353335824 is 428533353501.

It is a super-2 number, since 2×105353335824² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105353335823) 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 15 ways as a sum of consecutive naturals, for example, 3201904 + ... + 3234639.

Almost surely, 2^105353335824 is an apocalyptic number.

It is an amenable number.

105353335824 is an abundant number, since it is smaller than the sum of its proper divisors (201129143280).

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

105353335824 is a wasteful number, since it uses less digits than its factorization.

105353335824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6436596 (or 6436590 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 105353335824 in words is "one hundred five billion, three hundred fifty-three million, three hundred thirty-five thousand, eight hundred twenty-four".