105105555111111 has 16 divisors (see below), whose sum is σ = 142518198566400. Its totient is φ = 68881677392448.

The previous prime is 105105555111097. The next prime is 105105555111113. The reversal of 105105555111111 is 111111555501501.

It is a happy number.

It is not a de Polignac number, because 105105555111111 - 2¹⁵ = 105105555078343 is a prime.

It is a super-2 number, since 2×105105555111111² (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 (105105555111113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7059810 + ... + 16126128.

It is an arithmetic number, because the mean of its divisors is an integer number (8907387410400).

Almost surely, 2^{105105555111111} is an apocalyptic number.

105105555111111 is a deficient number, since it is larger than the sum of its proper divisors (37412643455289).

105105555111111 is an equidigital number, since it uses as much as digits as its factorization.

105105555111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9131878.

The product of its (nonzero) digits is 3125, while the sum is 33.

The spelling of 105105555111111 in words is "one hundred five trillion, one hundred five billion, five hundred fifty-five million, one hundred eleven thousand, one hundred eleven".