105055111011051 has 48 divisors (see below), whose sum is σ = 158102549171424. Its totient is φ = 67164317724672.

The previous prime is 105055111011049. The next prime is 105055111011061. The reversal of 105055111011051 is 150110111550501.

105055111011051 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 551 + 1 + 1 + 0 + 1 + 105 + 1 = 666.

It is not a de Polignac number, because 105055111011051 - 2¹ = 105055111011049 is a prime.

It is a super-2 number, since 2×105055111011051² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105055111011061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463990 + ... + 14502603.

It is an arithmetic number, because the mean of its divisors is an integer number (3293803107738).

Almost surely, 2^{105055111011051} is an apocalyptic number.

105055111011051 is a deficient number, since it is larger than the sum of its proper divisors (53047438160373).

105055111011051 is a wasteful number, since it uses less digits than its factorization.

105055111011051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14966940 (or 14966937 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 27.

Adding to 105055111011051 its reverse (150110111550501), we get a palindrome (255165222561552).

The spelling of 105055111011051 in words is "one hundred five trillion, fifty-five billion, one hundred eleven million, eleven thousand, fifty-one".