105005560010 has 32 divisors (see below), whose sum is σ = 205564604112. Its totient is φ = 38387404800.

The previous prime is 105005559977. The next prime is 105005560019. The reversal of 105005560010 is 10065500501.

It can be written as a sum of positive squares in 8 ways, for example, as 28746185209 + 76259374801 = 169547^2 + 276151^2 .

It is a super-2 number, since 2×105005560010² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105005560019) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3985559 + ... + 4011818.

Almost surely, 2^105005560010 is an apocalyptic number.

105005560010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105005560010 is a deficient number, since it is larger than the sum of its proper divisors (100559044102).

105005560010 is a wasteful number, since it uses less digits than its factorization.

105005560010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7997498.

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 105005560010 in words is "one hundred five billion, five million, five hundred sixty thousand, ten".