105500105356011 has 16 divisors (see below), whose sum is σ = 140697034867968. Its totient is φ = 70318291154400.

The previous prime is 105500105355979. The next prime is 105500105356013. The reversal of 105500105356011 is 110653501005501.

It is not a de Polignac number, because 105500105356011 - 2⁵ = 105500105355979 is a prime.

It is a super-2 number, since 2×105500105356011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105500105356013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310282480 + ... + 310622306.

It is an arithmetic number, because the mean of its divisors is an integer number (8793564679248).

Almost surely, 2^{105500105356011} is an apocalyptic number.

105500105356011 is a deficient number, since it is larger than the sum of its proper divisors (35196929511957).

105500105356011 is a wasteful number, since it uses less digits than its factorization.

105500105356011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361762.

The product of its (nonzero) digits is 11250, while the sum is 33.

The spelling of 105500105356011 in words is "one hundred five trillion, five hundred billion, one hundred five million, three hundred fifty-six thousand, eleven".