105843725568 has 864 divisors, whose sum is σ = 398625131520. Its totient is φ = 27497594880.

The previous prime is 105843725513. The next prime is 105843725573. The reversal of 105843725568 is 865527348501.

105843725568 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 4 + 3 + 72 + 5 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×105843725568² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 178488280 + ... + 178488872.

It is an arithmetic number, because the mean of its divisors is an integer number (461371680).

Almost surely, 2^105843725568 is an apocalyptic number.

105843725568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105843725568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199312565760).

105843725568 is an abundant number, since it is smaller than the sum of its proper divisors (292781405952).

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

105843725568 is a wasteful number, since it uses less digits than its factorization.

105843725568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 105843725568 in words is "one hundred five billion, eight hundred forty-three million, seven hundred twenty-five thousand, five hundred sixty-eight".