105002313321 has 8 divisors (see below), whose sum is σ = 140004696640. Its totient is φ = 70000736112.

The previous prime is 105002313313. The next prime is 105002313323. The reversal of 105002313321 is 123313200501.

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

It is not a de Polignac number, because 105002313321 - 2³ = 105002313313 is a prime.

It is a super-3 number, since 3×105002313321³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105002313323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241620 + ... + 518058.

It is an arithmetic number, because the mean of its divisors is an integer number (17500587080).

Almost surely, 2^105002313321 is an apocalyptic number.

It is an amenable number.

105002313321 is a deficient number, since it is larger than the sum of its proper divisors (35002383319).

105002313321 is a wasteful number, since it uses less digits than its factorization.

105002313321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403055.

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 105002313321 its reverse (123313200501), we get a palindrome (228315513822).

The spelling of 105002313321 in words is "one hundred five billion, two million, three hundred thirteen thousand, three hundred twenty-one".