10205144522055 has 24 divisors (see below), whose sum is σ = 20215905339552. Its totient is φ = 4665208924224.

The previous prime is 10205144522029. The next prime is 10205144522087. The reversal of 10205144522055 is 55022544150201.

10205144522055 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 5 + 1 + 445 + 2 + 205 + 5 = 666.

It is not a de Polignac number, because 10205144522055 - 2⁸ = 10205144521799 is a prime.

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 23 ways as a sum of consecutive naturals, for example, 16198641784 + ... + 16198642413.

It is an arithmetic number, because the mean of its divisors is an integer number (842329389148).

Almost surely, 2^{10205144522055} is an apocalyptic number.

10205144522055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10205144522055 is a deficient number, since it is larger than the sum of its proper divisors (10010760817497).

10205144522055 is a wasteful number, since it uses less digits than its factorization.

10205144522055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32397284215 (or 32397284212 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

Adding to 10205144522055 its reverse (55022544150201), we get a palindrome (65227688672256).

The spelling of 10205144522055 in words is "ten trillion, two hundred five billion, one hundred forty-four million, five hundred twenty-two thousand, fifty-five".