105541634369 has 2 divisors, whose sum is σ = 105541634370. Its totient is φ = 105541634368.

The previous prime is 105541634279. The next prime is 105541634411. The reversal of 105541634369 is 963436145501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78967744144 + 26573890225 = 281012^2 + 163015^2 .

It is a cyclic number.

It is not a de Polignac number, because 105541634369 - 2²⁰ = 105540585793 is a prime.

It is a super-2 number, since 2×105541634369² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105541634269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52770817184 + 52770817185.

It is an arithmetic number, because the mean of its divisors is an integer number (52770817185).

Almost surely, 2^105541634369 is an apocalyptic number.

It is an amenable number.

105541634369 is a deficient number, since it is larger than the sum of its proper divisors (1).

105541634369 is an equidigital number, since it uses as much as digits as its factorization.

105541634369 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1166400, while the sum is 47.

The spelling of 105541634369 in words is "one hundred five billion, five hundred forty-one million, six hundred thirty-four thousand, three hundred sixty-nine".