105345044733849 has 8 divisors (see below), whose sum is σ = 144991029311232. Its totient is φ = 67964544989520.

The previous prime is 105345044733767. The next prime is 105345044733871. The reversal of 105345044733849 is 948337440543501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105345044733849 - 2³⁷ = 105207605780377 is a prime.

It is a super-2 number, since 2×105345044733849² (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 = 105345044733792 and 105345044733801.

It is not an unprimeable number, because it can be changed into a prime (105345044733889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 566371208154 + ... + 566371208339.

It is an arithmetic number, because the mean of its divisors is an integer number (18123878663904).

Almost surely, 2^{105345044733849} is an apocalyptic number.

It is an amenable number.

105345044733849 is a deficient number, since it is larger than the sum of its proper divisors (39645984577383).

105345044733849 is a wasteful number, since it uses less digits than its factorization.

105345044733849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132742416527.

The product of its (nonzero) digits is 87091200, while the sum is 60.

The spelling of 105345044733849 in words is "one hundred five trillion, three hundred forty-five billion, forty-four million, seven hundred thirty-three thousand, eight hundred forty-nine".