106005500505105 has 32 divisors (see below), whose sum is σ = 174256098781824. Its totient is φ = 54988277723136.

The previous prime is 106005500505083. The next prime is 106005500505119. The reversal of 106005500505105 is 501505005500601.

It is not a de Polignac number, because 106005500505105 - 2²⁴ = 106005483727889 is a prime.

It is a super-2 number, since 2×106005500505105² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 33161679 + ... + 36217508.

It is an arithmetic number, because the mean of its divisors is an integer number (5445503086932).

Almost surely, 2^{106005500505105} is an apocalyptic number.

106005500505105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106005500505105 is a deficient number, since it is larger than the sum of its proper divisors (68250598276719).

106005500505105 is a wasteful number, since it uses less digits than its factorization.

106005500505105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69381985.

The product of its (nonzero) digits is 18750, while the sum is 33.

The spelling of 106005500505105 in words is "one hundred six trillion, five billion, five hundred million, five hundred five thousand, one hundred five".