105003823321 has 8 divisors (see below), whose sum is σ = 107049866400. Its totient is φ = 102966657600.

The previous prime is 105003823307. The next prime is 105003823339. The reversal of 105003823321 is 123328300501.

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 105003823321 - 2²⁵ = 104970268889 is a prime.

It is a super-2 number, since 2×105003823321² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105003823321.

It is not an unprimeable number, because it can be changed into a prime (105003823391) 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, 2195451 + ... + 2242768.

It is an arithmetic number, because the mean of its divisors is an integer number (13381233300).

Almost surely, 2^105003823321 is an apocalyptic number.

It is an amenable number.

105003823321 is a deficient number, since it is larger than the sum of its proper divisors (2046043079).

105003823321 is an equidigital number, since it uses as much as digits as its factorization.

105003823321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4438679.

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 105003823321 in words is "one hundred five billion, three million, eight hundred twenty-three thousand, three hundred twenty-one".