1105441144101 has 36 divisors (see below), whose sum is σ = 1966703225292. Its totient is φ = 594522964224.

The previous prime is 1105441144099. The next prime is 1105441144117. The reversal of 1105441144101 is 1014411445011.

1105441144101 is a `hidden beast` number, since 1 + 1 + 0 + 544 + 1 + 14 + 4 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 815636571876 + 289804572225 = 903126^2 + 538335^2 .

It is not a de Polignac number, because 1105441144101 - 2¹ = 1105441144099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105441144141) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 73718070 + ... + 73733063.

It is an arithmetic number, because the mean of its divisors is an integer number (54630645147).

Almost surely, 2^{1105441144101} is an apocalyptic number.

It is an amenable number.

1105441144101 is a deficient number, since it is larger than the sum of its proper divisors (861262081191).

1105441144101 is a wasteful number, since it uses less digits than its factorization.

1105441144101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147451170 (or 147451160 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

Adding to 1105441144101 its reverse (1014411445011), we get a palindrome (2119852589112).

The spelling of 1105441144101 in words is "one trillion, one hundred five billion, four hundred forty-one million, one hundred forty-four thousand, one hundred one".