105005005111051 has 8 divisors (see below), whose sum is σ = 106231028911200. Its totient is φ = 103782635630400.

The previous prime is 105005005110983. The next prime is 105005005111063. The reversal of 105005005111051 is 150111500500501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105005005111051 - 2⁷ = 105005005110923 is a prime.

It is a super-2 number, since 2×105005005111051² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105005005111751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 913522071 + ... + 913637008.

It is an arithmetic number, because the mean of its divisors is an integer number (13278878613900).

Almost surely, 2^{105005005111051} is an apocalyptic number.

105005005111051 is a deficient number, since it is larger than the sum of its proper divisors (1226023800149).

105005005111051 is a wasteful number, since it uses less digits than its factorization.

105005005111051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827159749.

The product of its (nonzero) digits is 625, while the sum is 25.

Adding to 105005005111051 its reverse (150111500500501), we get a palindrome (255116505611552).

The spelling of 105005005111051 in words is "one hundred five trillion, five billion, five million, one hundred eleven thousand, fifty-one".