105346136241 has 12 divisors (see below), whose sum is σ = 152344209732. Its totient is φ = 70148802816.

The previous prime is 105346136219. The next prime is 105346136263. The reversal of 105346136241 is 142631643501.

105346136241 is a `hidden beast` number, since 1 + 0 + 5 + 34 + 613 + 6 + 2 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (105346136219) and next prime (105346136263).

It can be written as a sum of positive squares in 2 ways, for example, as 67941029025 + 37405107216 = 260655^2 + 193404^2 .

It is not a de Polignac number, because 105346136241 - 2⁷ = 105346136113 is a prime.

It is a super-3 number, since 3×105346136241³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105346136196 and 105346136205.

It is not an unprimeable number, because it can be changed into a prime (105346136341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6821416 + ... + 6836841.

It is an arithmetic number, because the mean of its divisors is an integer number (12695350811).

Almost surely, 2^105346136241 is an apocalyptic number.

It is an amenable number.

105346136241 is a deficient number, since it is larger than the sum of its proper divisors (46998073491).

105346136241 is a wasteful number, since it uses less digits than its factorization.

105346136241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13659120 (or 13659117 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 105346136241 its reverse (142631643501), we get a palindrome (247977779742).

The spelling of 105346136241 in words is "one hundred five billion, three hundred forty-six million, one hundred thirty-six thousand, two hundred forty-one".