105054422071185 has 64 divisors (see below), whose sum is σ = 187571594246400. Its totient is φ = 55786588936704.

The previous prime is 105054422071147. The next prime is 105054422071213. The reversal of 105054422071185 is 581170224450501.

105054422071185 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 5 + 442 + 20 + 7 + 1 + 185 = 666.

It is not a de Polignac number, because 105054422071185 - 2¹⁴ = 105054422054801 is a prime.

It is a super-2 number, since 2×105054422071185² (a number of 29 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 105054422071185.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1492787659 + ... + 1492858031.

It is an arithmetic number, because the mean of its divisors is an integer number (2930806160100).

Almost surely, 2^{105054422071185} is an apocalyptic number.

105054422071185 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105054422071185 is a deficient number, since it is larger than the sum of its proper divisors (82517172175215).

105054422071185 is a wasteful number, since it uses less digits than its factorization.

105054422071185 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118079 (or 118073 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The spelling of 105054422071185 in words is "one hundred five trillion, fifty-four billion, four hundred twenty-two million, seventy-one thousand, one hundred eighty-five".