105675086655 has 96 divisors (see below), whose sum is σ = 192751902720. Its totient is φ = 53455311360.

The previous prime is 105675086557. The next prime is 105675086663. The reversal of 105675086655 is 556680576501.

105675086655 is a `hidden beast` number, since 10 + 5 + 67 + 508 + 6 + 65 + 5 = 666.

It is not a de Polignac number, because 105675086655 - 2¹⁰ = 105675085631 is a prime.

It is a super-2 number, since 2×105675086655² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 80852512 + ... + 80853818.

It is an arithmetic number, because the mean of its divisors is an integer number (2007832320).

Almost surely, 2^105675086655 is an apocalyptic number.

105675086655 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105675086655 is a deficient number, since it is larger than the sum of its proper divisors (87076816065).

105675086655 is a wasteful number, since it uses less digits than its factorization.

105675086655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The spelling of 105675086655 in words is "one hundred five billion, six hundred seventy-five million, eighty-six thousand, six hundred fifty-five".