105605420445 has 96 divisors (see below), whose sum is σ = 212033233152. Its totient is φ = 47627191296.

The previous prime is 105605420411. The next prime is 105605420449. The reversal of 105605420445 is 544024506501.

105605420445 is a `hidden beast` number, since 1 + 0 + 5 + 605 + 4 + 2 + 0 + 4 + 45 = 666.

It is not a de Polignac number, because 105605420445 - 2⁶ = 105605420381 is a prime.

It is a super-2 number, since 2×105605420445² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105605420449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7026759 + ... + 7041771.

It is an arithmetic number, because the mean of its divisors is an integer number (2208679512).

Almost surely, 2^105605420445 is an apocalyptic number.

105605420445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105605420445 is an abundant number, since it is smaller than the sum of its proper divisors (106427812707).

105605420445 is a wasteful number, since it uses less digits than its factorization.

105605420445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15331 (or 15328 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 105605420445 its reverse (544024506501), we get a palindrome (649629926946).

The spelling of 105605420445 in words is "one hundred five billion, six hundred five million, four hundred twenty thousand, four hundred forty-five".