105370775055 has 192 divisors, whose sum is σ = 230559743232. Its totient is φ = 43336581120.

The previous prime is 105370775047. The next prime is 105370775089. The reversal of 105370775055 is 550577073501.

105370775055 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 70 + 77 + 505 + 5 = 666.

It is not a de Polignac number, because 105370775055 - 2³ = 105370775047 is a prime.

It is a super-2 number, since 2×105370775055² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 105370775055.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28224969 + ... + 28228701.

It is an arithmetic number, because the mean of its divisors is an integer number (1200831996).

Almost surely, 2^105370775055 is an apocalyptic number.

105370775055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105370775055 is an abundant number, since it is smaller than the sum of its proper divisors (125188968177).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105370775055 is a wasteful number, since it uses less digits than its factorization.

105370775055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3938 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 643125, while the sum is 45.

The spelling of 105370775055 in words is "one hundred five billion, three hundred seventy million, seven hundred seventy-five thousand, fifty-five".