11105332300240 has 40 divisors (see below), whose sum is σ = 25820108621568. Its totient is φ = 4442096615040.

The previous prime is 11105332300199. The next prime is 11105332300241. The reversal of 11105332300240 is 4200323350111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11105332300241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10663369 + ... + 11658391.

Almost surely, 2^{11105332300240} is an apocalyptic number.

11105332300240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11105332300240 is an abundant number, since it is smaller than the sum of its proper divisors (14714776321328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11105332300240 is a wasteful number, since it uses less digits than its factorization.

11105332300240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134547 (or 1134541 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 11105332300240 its reverse (4200323350111), we get a palindrome (15305655650351).

The spelling of 11105332300240 in words is "eleven trillion, one hundred five billion, three hundred thirty-two million, three hundred thousand, two hundred forty".