105389420216704 has 64 divisors (see below), whose sum is σ = 226107849068640. Its totient is φ = 48640853200896.

The previous prime is 105389420216659. The next prime is 105389420216767. The reversal of 105389420216704 is 407612024983501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105389420216704² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280923717 + ... + 281298619.

It is a 1-persistent number, because it is pandigital, but 2⋅105389420216704 = 210778840433408 is not.

Almost surely, 2^{105389420216704} is an apocalyptic number.

It is an amenable number.

105389420216704 is an abundant number, since it is smaller than the sum of its proper divisors (120718428851936).

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

105389420216704 is a wasteful number, since it uses less digits than its factorization.

105389420216704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543867 (or 543855 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 105389420216704 in words is "one hundred five trillion, three hundred eighty-nine billion, four hundred twenty million, two hundred sixteen thousand, seven hundred four".