105011105051055 has 32 divisors (see below), whose sum is σ = 202126638297600. Its totient is φ = 45478493615232.

The previous prime is 105011105051033. The next prime is 105011105051059. The reversal of 105011105051055 is 550150501110501.

It is a happy number.

It is not a de Polignac number, because 105011105051055 - 2¹¹ = 105011105049007 is a prime.

It is a super-2 number, since 2×105011105051055² (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 (105011105051059) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26318570700 + ... + 26318574689.

It is an arithmetic number, because the mean of its divisors is an integer number (6316457446800).

Almost surely, 2^{105011105051055} is an apocalyptic number.

105011105051055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105011105051055 is a deficient number, since it is larger than the sum of its proper divisors (97115533246545).

105011105051055 is a wasteful number, since it uses less digits than its factorization.

105011105051055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52637145423.

The product of its (nonzero) digits is 3125, while the sum is 30.

Adding to 105011105051055 its reverse (550150501110501), we get a palindrome (655161606161556).

The spelling of 105011105051055 in words is "one hundred five trillion, eleven billion, one hundred five million, fifty-one thousand, fifty-five".