105064565436341 has 16 divisors (see below), whose sum is σ = 124214630457600. Its totient is φ = 86949729057408.

The previous prime is 105064565436331. The next prime is 105064565436349. The reversal of 105064565436341 is 143634565460501.

It is not a de Polignac number, because 105064565436341 - 2²² = 105064561242037 is a prime.

It is a super-2 number, since 2×105064565436341² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105064565436349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103070120 + ... + 104084478.

It is an arithmetic number, because the mean of its divisors is an integer number (7763414403600).

Almost surely, 2^{105064565436341} is an apocalyptic number.

It is an amenable number.

105064565436341 is a deficient number, since it is larger than the sum of its proper divisors (19150065021259).

105064565436341 is a wasteful number, since it uses less digits than its factorization.

105064565436341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524628.

The product of its (nonzero) digits is 15552000, while the sum is 53.

The spelling of 105064565436341 in words is "one hundred five trillion, sixty-four billion, five hundred sixty-five million, four hundred thirty-six thousand, three hundred forty-one".