105943836561521 has 8 divisors (see below), whose sum is σ = 122885814690240. Its totient is φ = 89453644516368.

The previous prime is 105943836561427. The next prime is 105943836561631. The reversal of 105943836561521 is 125165638349501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105943836561521 - 2¹⁴ = 105943836545137 is a prime.

It is a super-3 number, since 3×105943836561521³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105943836561821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112946520386 + ... + 112946521323.

It is an arithmetic number, because the mean of its divisors is an integer number (15360726836280).

Almost surely, 2^{105943836561521} is an apocalyptic number.

It is an amenable number.

105943836561521 is a deficient number, since it is larger than the sum of its proper divisors (16941978128719).

105943836561521 is an equidigital number, since it uses as much as digits as its factorization.

105943836561521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225893041783.

The product of its (nonzero) digits is 23328000, while the sum is 59.

The spelling of 105943836561521 in words is "one hundred five trillion, nine hundred forty-three billion, eight hundred thirty-six million, five hundred sixty-one thousand, five hundred twenty-one".