105305401223201 has 16 divisors (see below), whose sum is σ = 107568275769600. Its totient is φ = 103067915004288.

The previous prime is 105305401223161. The next prime is 105305401223203. The reversal of 105305401223201 is 102322104503501.

It is a cyclic number.

It is not a de Polignac number, because 105305401223201 - 2⁶ = 105305401223137 is a prime.

It is a super-2 number, since 2×105305401223201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105305401223203) 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, 811886 + ... + 14535128.

It is an arithmetic number, because the mean of its divisors is an integer number (6723017235600).

Almost surely, 2^{105305401223201} is an apocalyptic number.

It is an amenable number.

105305401223201 is a deficient number, since it is larger than the sum of its proper divisors (2262874546399).

105305401223201 is a wasteful number, since it uses less digits than its factorization.

105305401223201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13724168.

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 105305401223201 its reverse (102322104503501), we get a palindrome (207627505726702).

The spelling of 105305401223201 in words is "one hundred five trillion, three hundred five billion, four hundred one million, two hundred twenty-three thousand, two hundred one".