105555532511 has 16 divisors (see below), whose sum is σ = 125755918848. Its totient is φ = 87330482400.

The previous prime is 105555532501. The next prime is 105555532531. The reversal of 105555532511 is 115235555501.

It is a cyclic number.

It is not a de Polignac number, because 105555532511 - 2³⁰ = 104481790687 is a prime.

It is a super-2 number, since 2×105555532511² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105555532501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5188091 + ... + 5208396.

It is an arithmetic number, because the mean of its divisors is an integer number (7859744928).

Almost surely, 2^105555532511 is an apocalyptic number.

105555532511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105555532511 is a deficient number, since it is larger than the sum of its proper divisors (20200386337).

105555532511 is a wasteful number, since it uses less digits than its factorization.

105555532511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10396582.

The product of its (nonzero) digits is 93750, while the sum is 38.

The spelling of 105555532511 in words is "one hundred five billion, five hundred fifty-five million, five hundred thirty-two thousand, five hundred eleven".