11103417087700 has 288 divisors, whose sum is σ = 29192231577600. Its totient is φ = 3585555832320.

The previous prime is 11103417087691. The next prime is 11103417087739. The reversal of 11103417087700 is 778071430111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140050671 + ... + 140129929.

It is an arithmetic number, because the mean of its divisors is an integer number (101361915200).

Almost surely, 2^{11103417087700} is an apocalyptic number.

11103417087700 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 11103417087700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14596115788800).

11103417087700 is an abundant number, since it is smaller than the sum of its proper divisors (18088814489900).

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

11103417087700 is a wasteful number, since it uses less digits than its factorization.

11103417087700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79479 (or 79472 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 40.

The spelling of 11103417087700 in words is "eleven trillion, one hundred three billion, four hundred seventeen million, eighty-seven thousand, seven hundred".