105073438464 has 720 divisors, whose sum is σ = 346174456320. Its totient is φ = 31592816640.

The previous prime is 105073438451. The next prime is 105073438523. The reversal of 105073438464 is 464834370501.

105073438464 is a `hidden beast` number, since 1 + 0 + 507 + 3 + 4 + 3 + 84 + 64 = 666.

It is a super-2 number, since 2×105073438464² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 981994699 + ... + 981994805.

It is an arithmetic number, because the mean of its divisors is an integer number (480797856).

Almost surely, 2^105073438464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105073438464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173087228160).

105073438464 is an abundant number, since it is smaller than the sum of its proper divisors (241101017856).

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

105073438464 is a wasteful number, since it uses less digits than its factorization.

105073438464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 105073438464 in words is "one hundred five billion, seventy-three million, four hundred thirty-eight thousand, four hundred sixty-four".