105353141 has 2 divisors, whose sum is σ = 105353142. Its totient is φ = 105353140.

The previous prime is 105353113. The next prime is 105353167. The reversal of 105353141 is 141353501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100922116 + 4431025 = 10046^2 + 2105^2 .

It is an emirp because it is prime and its reverse (141353501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105353141 is a prime.

It is a super-3 number, since 3×105353141³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105353111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52676570 + 52676571.

It is an arithmetic number, because the mean of its divisors is an integer number (52676571).

Almost surely, 2^105353141 is an apocalyptic number.

It is an amenable number.

105353141 is a deficient number, since it is larger than the sum of its proper divisors (1).

105353141 is an equidigital number, since it uses as much as digits as its factorization.

105353141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 105353141 is about 10264.1678181916. The cubic root of 105353141 is about 472.2976986399.

The spelling of 105353141 in words is "one hundred five million, three hundred fifty-three thousand, one hundred forty-one".