105120221321 has 8 divisors (see below), whose sum is σ = 105704035584. Its totient is φ = 104537411280.

The previous prime is 105120221299. The next prime is 105120221347. The reversal of 105120221321 is 123122021501.

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 105120221321 - 2¹⁰ = 105120220297 is a prime.

It is a super-2 number, since 2×105120221321² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105120221293 and 105120221302.

It is not an unprimeable number, because it can be changed into a prime (105120220321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40631 + ... + 460316.

It is an arithmetic number, because the mean of its divisors is an integer number (13213004448).

Almost surely, 2^105120221321 is an apocalyptic number.

It is an amenable number.

105120221321 is a deficient number, since it is larger than the sum of its proper divisors (583814263).

105120221321 is an equidigital number, since it uses as much as digits as its factorization.

105120221321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502111.

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 105120221321 its reverse (123122021501), we get a palindrome (228242242822).

The spelling of 105120221321 in words is "one hundred five billion, one hundred twenty million, two hundred twenty-one thousand, three hundred twenty-one".