105565363321 has 8 divisors (see below), whose sum is σ = 115187191488. Its totient is φ = 95947698000.

The previous prime is 105565363283. The next prime is 105565363349. The reversal of 105565363321 is 123363565501.

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

It is not a de Polignac number, because 105565363321 - 2¹⁹ = 105564839033 is a prime.

It is a super-2 number, since 2×105565363321² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105565363391) 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 7 ways as a sum of consecutive naturals, for example, 987565 + ... + 1089226.

It is an arithmetic number, because the mean of its divisors is an integer number (14398398936).

Almost surely, 2^105565363321 is an apocalyptic number.

105565363321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105565363321 is a deficient number, since it is larger than the sum of its proper divisors (9621828167).

105565363321 is a wasteful number, since it uses less digits than its factorization.

105565363321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081423.

The product of its (nonzero) digits is 243000, while the sum is 40.

The spelling of 105565363321 in words is "one hundred five billion, five hundred sixty-five million, three hundred sixty-three thousand, three hundred twenty-one".