110505106101105 has 24 divisors (see below), whose sum is σ = 191567160668520. Its totient is φ = 58928371430400.

The previous prime is 110505106101077. The next prime is 110505106101119. The reversal of 110505106101105 is 501101601505011.

It can be written as a sum of positive squares in 4 ways, for example, as 68237892348129 + 42267213752976 = 8260623^2 + 6501324^2 .

It is not a de Polignac number, because 110505106101105 - 2⁶ = 110505106101041 is a prime.

It is a super-2 number, since 2×110505106101105² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159758496 + ... + 160448705.

It is an arithmetic number, because the mean of its divisors is an integer number (7981965027855).

Almost surely, 2^{110505106101105} is an apocalyptic number.

110505106101105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

110505106101105 is a deficient number, since it is larger than the sum of its proper divisors (81062054567415).

110505106101105 is a wasteful number, since it uses less digits than its factorization.

110505106101105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320214881 (or 320214878 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 27.

Adding to 110505106101105 its reverse (501101601505011), we get a palindrome (611606707606116).

The spelling of 110505106101105 in words is "one hundred ten trillion, five hundred five billion, one hundred six million, one hundred one thousand, one hundred five".