105344266541 has 2 divisors, whose sum is σ = 105344266542. Its totient is φ = 105344266540.

The previous prime is 105344266513. The next prime is 105344266567. The reversal of 105344266541 is 145662443501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92832949225 + 12511317316 = 304685^2 + 111854^2 .

It is an emirp because it is prime and its reverse (145662443501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105344266541 - 2¹⁴ = 105344250157 is a prime.

It is a super-3 number, since 3×105344266541³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105344266141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52672133270 + 52672133271.

It is an arithmetic number, because the mean of its divisors is an integer number (52672133271).

Almost surely, 2^105344266541 is an apocalyptic number.

It is an amenable number.

105344266541 is a deficient number, since it is larger than the sum of its proper divisors (1).

105344266541 is an equidigital number, since it uses as much as digits as its factorization.

105344266541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 345600, while the sum is 41.

The spelling of 105344266541 in words is "one hundred five billion, three hundred forty-four million, two hundred sixty-six thousand, five hundred forty-one".