11105020104000 has 224 divisors, whose sum is σ = 36672249744000. Its totient is φ = 2961058201600.

The previous prime is 11105020103953. The next prime is 11105020104029. The reversal of 11105020104000 is 40102050111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425482951 + ... + 425509049.

Almost surely, 2^{11105020104000} is an apocalyptic number.

11105020104000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11105020104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18336124872000).

11105020104000 is an abundant number, since it is smaller than the sum of its proper divisors (25567229640000).

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

11105020104000 is a wasteful number, since it uses less digits than its factorization.

11105020104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43858 (or 43838 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 11105020104000 its reverse (40102050111), we get a palindrome (11145122154111).

The spelling of 11105020104000 in words is "eleven trillion, one hundred five billion, twenty million, one hundred four thousand".