105105021560055 has 48 divisors (see below), whose sum is σ = 200173854142080. Its totient is φ = 50593391640000.

The previous prime is 105105021560017. The next prime is 105105021560059. The reversal of 105105021560055 is 550065120501501.

105105021560055 is a `hidden beast` number, since 1 + 0 + 51 + 0 + 502 + 1 + 56 + 0 + 0 + 55 = 666.

It is not a de Polignac number, because 105105021560055 - 2¹¹ = 105105021558007 is a prime.

It is a super-2 number, since 2×105105021560055² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105105021560059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 763720321 + ... + 763857930.

It is an arithmetic number, because the mean of its divisors is an integer number (4170288627960).

Almost surely, 2^{105105021560055} is an apocalyptic number.

105105021560055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105105021560055 is a deficient number, since it is larger than the sum of its proper divisors (95068832582025).

105105021560055 is a wasteful number, since it uses less digits than its factorization.

105105021560055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527578412 (or 1527578409 counting only the distinct ones).

The product of its (nonzero) digits is 37500, while the sum is 36.

The spelling of 105105021560055 in words is "one hundred five trillion, one hundred five billion, twenty-one million, five hundred sixty thousand, fifty-five".