105600496221 has 24 divisors (see below), whose sum is σ = 169221143520. Its totient is φ = 62915546400.

The previous prime is 105600496187. The next prime is 105600496237. The reversal of 105600496221 is 122694006501.

105600496221 is a `hidden beast` number, since 1 + 0 + 5 + 600 + 49 + 6 + 2 + 2 + 1 = 666.

It is not a de Polignac number, because 105600496221 - 2¹⁴ = 105600479837 is a prime.

It is a super-2 number, since 2×105600496221² (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 (105600496621) 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 23 ways as a sum of consecutive naturals, for example, 9033750 + ... + 9045431.

It is an arithmetic number, because the mean of its divisors is an integer number (7050880980).

Almost surely, 2^105600496221 is an apocalyptic number.

105600496221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105600496221 is a deficient number, since it is larger than the sum of its proper divisors (63620647299).

105600496221 is a wasteful number, since it uses less digits than its factorization.

105600496221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18079257 (or 18079254 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 105600496221 in words is "one hundred five billion, six hundred million, four hundred ninety-six thousand, two hundred twenty-one".