11103434536400 has 60 divisors (see below), whose sum is σ = 26676400856652. Its totient is φ = 4441307320320.

The previous prime is 11103434536379. The next prime is 11103434536457. The reversal of 11103434536400 is 463543430111.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 265670146624 + 10837764389776 = 515432^2 + 3292076^2 .

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 11 ways as a sum of consecutive naturals, for example, 33280814 + ... + 33612786.

Almost surely, 2^{11103434536400} is an apocalyptic number.

11103434536400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11103434536400 is an abundant number, since it is smaller than the sum of its proper divisors (15572966320252).

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

11103434536400 is a wasteful number, since it uses less digits than its factorization.

11103434536400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415608 (or 415597 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

Adding to 11103434536400 its reverse (463543430111), we get a palindrome (11566977966511).

The spelling of 11103434536400 in words is "eleven trillion, one hundred three billion, four hundred thirty-four million, five hundred thirty-six thousand, four hundred".