105820418241 has 12 divisors (see below), whose sum is σ = 153373397268. Its totient is φ = 70306169184.

The previous prime is 105820418239. The next prime is 105820418287. The reversal of 105820418241 is 142814028501.

105820418241 is a `hidden beast` number, since 10 + 582 + 0 + 41 + 8 + 24 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72843311025 + 32977107216 = 269895^2 + 181596^2 .

It is not a de Polignac number, because 105820418241 - 2¹ = 105820418239 is a prime.

It is a super-2 number, since 2×105820418241² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105820418196 and 105820418205.

It is not an unprimeable number, because it can be changed into a prime (105820418141) 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, 20061910 + ... + 20067183.

It is an arithmetic number, because the mean of its divisors is an integer number (12781116439).

Almost surely, 2^105820418241 is an apocalyptic number.

It is an amenable number.

105820418241 is a deficient number, since it is larger than the sum of its proper divisors (47552979027).

105820418241 is a wasteful number, since it uses less digits than its factorization.

105820418241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40129392 (or 40129389 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 105820418241 in words is "one hundred five billion, eight hundred twenty million, four hundred eighteen thousand, two hundred forty-one".