105343363121 has 2 divisors, whose sum is σ = 105343363122. Its totient is φ = 105343363120.

The previous prime is 105343363061. The next prime is 105343363163. The reversal of 105343363121 is 121363343501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64028735521 + 41314627600 = 253039^2 + 203260^2 .

It is a cyclic number.

It is not a de Polignac number, because 105343363121 - 2²⁶ = 105276254257 is a prime.

It is a super-2 number, since 2×105343363121² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105343363171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52671681560 + 52671681561.

It is an arithmetic number, because the mean of its divisors is an integer number (52671681561).

Almost surely, 2^105343363121 is an apocalyptic number.

It is an amenable number.

105343363121 is a deficient number, since it is larger than the sum of its proper divisors (1).

105343363121 is an equidigital number, since it uses as much as digits as its factorization.

105343363121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 32.

The spelling of 105343363121 in words is "one hundred five billion, three hundred forty-three million, three hundred sixty-three thousand, one hundred twenty-one".