10705044384 has 72 divisors (see below), whose sum is σ = 30530485440. Its totient is φ = 3558031488.

The previous prime is 10705044377. The next prime is 10705044409. The reversal of 10705044384 is 48344050701.

10705044384 is a `hidden beast` number, since 1 + 0 + 70 + 504 + 4 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10705044384² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 46377 + ... + 153495.

It is an arithmetic number, because the mean of its divisors is an integer number (424034520).

Almost surely, 2^10705044384 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 10705044384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15265242720).

10705044384 is an abundant number, since it is smaller than the sum of its proper divisors (19825441056).

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

10705044384 is a wasteful number, since it uses less digits than its factorization.

10705044384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107482 (or 107471 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 10705044384 in words is "ten billion, seven hundred five million, forty-four thousand, three hundred eighty-four".