11005105541 has 16 divisors (see below), whose sum is σ = 11388461568. Its totient is φ = 10627848000.

The previous prime is 11005105511. The next prime is 11005105547. The reversal of 11005105541 is 14550150011.

It is a cyclic number.

It is not a de Polignac number, because 11005105541 - 2⁶ = 11005105477 is a prime.

It is a super-2 number, since 2×11005105541² (a number of 21 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 (11005105547) 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, 4302635 + ... + 4305191.

It is an arithmetic number, because the mean of its divisors is an integer number (711778848).

Almost surely, 2^11005105541 is an apocalyptic number.

It is an amenable number.

11005105541 is a deficient number, since it is larger than the sum of its proper divisors (383356027).

11005105541 is a wasteful number, since it uses less digits than its factorization.

11005105541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3692.

The product of its (nonzero) digits is 500, while the sum is 23.

Adding to 11005105541 its reverse (14550150011), we get a palindrome (25555255552).

The spelling of 11005105541 in words is "eleven billion, five million, one hundred five thousand, five hundred forty-one".