105312303513221 has 16 divisors (see below), whose sum is σ = 120442516254720. Its totient is φ = 90203493015600.

The previous prime is 105312303513199. The next prime is 105312303513343. The reversal of 105312303513221 is 122315303213501.

It is a cyclic number.

It is not a de Polignac number, because 105312303513221 - 2⁴⁶ = 34943559335557 is a prime.

It is a super-2 number, since 2×105312303513221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105312303533221) 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, 636141560 + ... + 636307086.

It is an arithmetic number, because the mean of its divisors is an integer number (7527657265920).

Almost surely, 2^{105312303513221} is an apocalyptic number.

It is an amenable number.

105312303513221 is a deficient number, since it is larger than the sum of its proper divisors (15130212741499).

105312303513221 is a wasteful number, since it uses less digits than its factorization.

105312303513221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229624.

The product of its (nonzero) digits is 16200, while the sum is 32.

Adding to 105312303513221 its reverse (122315303213501), we get a palindrome (227627606726722).

The spelling of 105312303513221 in words is "one hundred five trillion, three hundred twelve billion, three hundred three million, five hundred thirteen thousand, two hundred twenty-one".