105386344342461 has 24 divisors (see below), whose sum is σ = 187353501054720. Its totient is φ = 55588401410976.

The previous prime is 105386344342397. The next prime is 105386344342471. The reversal of 105386344342461 is 164243443683501.

105386344342461 is a `hidden beast` number, since 1 + 0 + 53 + 8 + 6 + 344 + 3 + 4 + 246 + 1 = 666.

It is not a de Polignac number, because 105386344342461 - 2⁶ = 105386344342397 is a prime.

It is a super-2 number, since 2×105386344342461² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105386344342398 and 105386344342407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105386344342471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64338426741 + ... + 64338428378.

It is an arithmetic number, because the mean of its divisors is an integer number (7806395877280).

Almost surely, 2^{105386344342461} is an apocalyptic number.

It is an amenable number.

105386344342461 is a deficient number, since it is larger than the sum of its proper divisors (81967156712259).

105386344342461 is a wasteful number, since it uses less digits than its factorization.

105386344342461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128676855145 (or 128676855142 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 105386344342461 in words is "one hundred five trillion, three hundred eighty-six billion, three hundred forty-four million, three hundred forty-two thousand, four hundred sixty-one".