105501186600055 has 16 divisors (see below), whose sum is σ = 127640514277440. Its totient is φ = 83709333413632.

The previous prime is 105501186600023. The next prime is 105501186600059. The reversal of 105501186600055 is 550006681105501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105501186600055 - 2⁵ = 105501186600023 is a prime.

It is a super-2 number, since 2×105501186600055² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105501186599984 and 105501186600020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105501186600059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68679619 + ... + 70198948.

It is an arithmetic number, because the mean of its divisors is an integer number (7977532142340).

Almost surely, 2^{105501186600055} is an apocalyptic number.

105501186600055 is a deficient number, since it is larger than the sum of its proper divisors (22139327677385).

105501186600055 is a wasteful number, since it uses less digits than its factorization.

105501186600055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138879818.

The product of its (nonzero) digits is 180000, while the sum is 43.

The spelling of 105501186600055 in words is "one hundred five trillion, five hundred one billion, one hundred eighty-six million, six hundred thousand, fifty-five".