105505511111 has 32 divisors (see below), whose sum is σ = 142739283456. Its totient is φ = 75308688000.

The previous prime is 105505511087. The next prime is 105505511131. The reversal of 105505511111 is 111115505501.

It is not a de Polignac number, because 105505511111 - 2¹⁸ = 105505248967 is a prime.

It is a super-2 number, since 2×105505511111² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105505511131) 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, 271160 + ... + 533421.

It is an arithmetic number, because the mean of its divisors is an integer number (4460602608).

Almost surely, 2^105505511111 is an apocalyptic number.

105505511111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105505511111 is a deficient number, since it is larger than the sum of its proper divisors (37233772345).

105505511111 is a wasteful number, since it uses less digits than its factorization.

105505511111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804743.

The product of its (nonzero) digits is 625, while the sum is 26.

It can be divided in two parts, 105505 and 511111, that added together give a palindrome (616616).

The spelling of 105505511111 in words is "one hundred five billion, five hundred five million, five hundred eleven thousand, one hundred eleven".