105605420464 has 40 divisors (see below), whose sum is σ = 205996815360. Its totient is φ = 52445652288.

The previous prime is 105605420449. The next prime is 105605420471. The reversal of 105605420464 is 464024506501.

It is a super-2 number, since 2×105605420464² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2450269 + ... + 2492995.

It is an arithmetic number, because the mean of its divisors is an integer number (5149920384).

Almost surely, 2^105605420464 is an apocalyptic number.

It is an amenable number.

105605420464 is a deficient number, since it is larger than the sum of its proper divisors (100391394896).

105605420464 is a wasteful number, since it uses less digits than its factorization.

105605420464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43777 (or 43771 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 105605420464 its reverse (464024506501), we get a palindrome (569629926965).

The spelling of 105605420464 in words is "one hundred five billion, six hundred five million, four hundred twenty thousand, four hundred sixty-four".