11105030400 has 216 divisors, whose sum is σ = 37545451104. Its totient is φ = 2888908800.

The previous prime is 11105030381. The next prime is 11105030413. The reversal of 11105030400 is 403050111.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11105030400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 780147 + ... + 794253.

Almost surely, 2^11105030400 is an apocalyptic number.

11105030400 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 11105030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18772725552).

11105030400 is an abundant number, since it is smaller than the sum of its proper divisors (26440420704).

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

11105030400 is a wasteful number, since it uses less digits than its factorization.

11105030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14177 (or 14158 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 11105030400 its reverse (403050111), we get a palindrome (11508080511).

The spelling of 11105030400 in words is "eleven billion, one hundred five million, thirty thousand, four hundred".