105843756816 has 480 divisors, whose sum is σ = 356548608000. Its totient is φ = 28679132160.

The previous prime is 105843756743. The next prime is 105843756839. The reversal of 105843756816 is 618657348501.

It is a happy number.

105843756816 is a `hidden beast` number, since 1 + 0 + 584 + 3 + 7 + 56 + 8 + 1 + 6 = 666.

It is a super-2 number, since 2×105843756816² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 591305815 + ... + 591305993.

It is an arithmetic number, because the mean of its divisors is an integer number (742809600).

Almost surely, 2^105843756816 is an apocalyptic number.

105843756816 is a gapful number since it is divisible by the number (16) 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 105843756816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178274304000).

105843756816 is an abundant number, since it is smaller than the sum of its proper divisors (250704851184).

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

105843756816 is a wasteful number, since it uses less digits than its factorization.

105843756816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 105843756816 in words is "one hundred five billion, eight hundred forty-three million, seven hundred fifty-six thousand, eight hundred sixteen".