105943972696848 has 1680 divisors, whose sum is σ = 386656792381440. Its totient is φ = 27842255400960.

The previous prime is 105943972696847. The next prime is 105943972696853. The reversal of 105943972696848 is 848696279349501.

It is a happy number.

105943972696848 is a `hidden beast` number, since 1 + 0 + 5 + 94 + 397 + 2 + 69 + 6 + 84 + 8 = 666.

It is a super-2 number, since 2×105943972696848² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (105943972696847) by changing a digit.

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 335 ways as a sum of consecutive naturals, for example, 44272448740 + ... + 44272451132.

It is an arithmetic number, because the mean of its divisors is an integer number (230152852608).

It is a 1-persistent number, because it is pandigital, but 2⋅105943972696848 = 211887945393696 is not.

Almost surely, 2^{105943972696848} is an apocalyptic number.

105943972696848 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 105943972696848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193328396190720).

105943972696848 is an abundant number, since it is smaller than the sum of its proper divisors (280712819684592).

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

105943972696848 is a wasteful number, since it uses less digits than its factorization.

105943972696848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 5643509760, while the sum is 81.

The spelling of 105943972696848 in words is "one hundred five trillion, nine hundred forty-three billion, nine hundred seventy-two million, six hundred ninety-six thousand, eight hundred forty-eight".