105605055106010 has 32 divisors (see below), whose sum is σ = 191986383881232. Its totient is φ = 41820469516800.

The previous prime is 105605055105971. The next prime is 105605055106013. The reversal of 105605055106010 is 10601550506501.

It can be written as a sum of positive squares in 8 ways, for example, as 61708613163289 + 43896441942721 = 7855483^2 + 6625439^2 .

It is a super-2 number, since 2×105605055106010² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105605055106013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8626334 + ... + 16900406.

Almost surely, 2^{105605055106010} is an apocalyptic number.

105605055106010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105605055106010 is a deficient number, since it is larger than the sum of its proper divisors (86381328775222).

105605055106010 is a wasteful number, since it uses less digits than its factorization.

105605055106010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8286818.

The product of its (nonzero) digits is 22500, while the sum is 35.

The spelling of 105605055106010 in words is "one hundred five trillion, six hundred five billion, fifty-five million, one hundred six thousand, ten".