105032122321 has 16 divisors (see below), whose sum is σ = 125284537728. Its totient is φ = 86174524800.

The previous prime is 105032122289. The next prime is 105032122369. The reversal of 105032122321 is 123221230501.

It is not a de Polignac number, because 105032122321 - 2⁵ = 105032122289 is a prime.

It is a super-2 number, since 2×105032122321² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105032122292 and 105032122301.

It is not an unprimeable number, because it can be changed into a prime (105032422321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3437295 + ... + 3467716.

It is an arithmetic number, because the mean of its divisors is an integer number (7830283608).

Almost surely, 2^105032122321 is an apocalyptic number.

It is an amenable number.

105032122321 is a deficient number, since it is larger than the sum of its proper divisors (20252415407).

105032122321 is an equidigital number, since it uses as much as digits as its factorization.

105032122321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6905112.

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 105032122321 its reverse (123221230501), we get a palindrome (228253352822).

The spelling of 105032122321 in words is "one hundred five billion, thirty-two million, one hundred twenty-two thousand, three hundred twenty-one".