105235434344101 has 2 divisors, whose sum is σ = 105235434344102. Its totient is φ = 105235434344100.

The previous prime is 105235434344093. The next prime is 105235434344123. The reversal of 105235434344101 is 101443434532501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92364208996900 + 12871225347201 = 9610630^2 + 3587649^2 .

It is a cyclic number.

It is not a de Polignac number, because 105235434344101 - 2³ = 105235434344093 is a prime.

It is a super-2 number, since 2×105235434344101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105235434344171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52617717172050 + 52617717172051.

It is an arithmetic number, because the mean of its divisors is an integer number (52617717172051).

Almost surely, 2^{105235434344101} is an apocalyptic number.

It is an amenable number.

105235434344101 is a deficient number, since it is larger than the sum of its proper divisors (1).

105235434344101 is an equidigital number, since it uses as much as digits as its factorization.

105235434344101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 345600, while the sum is 40.

Adding to 105235434344101 its reverse (101443434532501), we get a palindrome (206678868876602).

The spelling of 105235434344101 in words is "one hundred five trillion, two hundred thirty-five billion, four hundred thirty-four million, three hundred forty-four thousand, one hundred one".