105610106055 has 16 divisors (see below), whose sum is σ = 174802934880. Its totient is φ = 54383134848.

The previous prime is 105610106053. The next prime is 105610106057. The reversal of 105610106055 is 550601016501.

It is an interprime number because it is at equal distance from previous prime (105610106053) and next prime (105610106057).

It is not a de Polignac number, because 105610106055 - 2¹ = 105610106053 is a prime.

It is a super-2 number, since 2×105610106055² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105610106053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121390492 + ... + 121391361.

It is an arithmetic number, because the mean of its divisors is an integer number (10925183430).

Almost surely, 2^105610106055 is an apocalyptic number.

105610106055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105610106055 is a deficient number, since it is larger than the sum of its proper divisors (69192828825).

105610106055 is a wasteful number, since it uses less digits than its factorization.

105610106055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242781890.

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 105610106055 in words is "one hundred five billion, six hundred ten million, one hundred six thousand, fifty-five".