105605001056 has 24 divisors (see below), whose sum is σ = 208738187784. Its totient is φ = 52592128000.

The previous prime is 105605001049. The next prime is 105605001091. The reversal of 105605001056 is 650100506501.

It is a super-2 number, since 2×105605001056² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 6565985 + ... + 6582048.

It is an arithmetic number, because the mean of its divisors is an integer number (8697424491).

Almost surely, 2^105605001056 is an apocalyptic number.

105605001056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105605001056 is a deficient number, since it is larger than the sum of its proper divisors (103133186728).

105605001056 is a wasteful number, since it uses less digits than its factorization.

105605001056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13148294 (or 13148286 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

Adding to 105605001056 its reverse (650100506501), we get a palindrome (755705507557).

The spelling of 105605001056 in words is "one hundred five billion, six hundred five million, one thousand, fifty-six".