11103530400 has 216 divisors, whose sum is σ = 40417663104. Its totient is φ = 2865369600.

The previous prime is 11103530381. The next prime is 11103530407. The reversal of 11103530400 is 403530111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11103530407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 198327 + ... + 248073.

Almost surely, 2^11103530400 is an apocalyptic number.

11103530400 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 11103530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20208831552).

11103530400 is an abundant number, since it is smaller than the sum of its proper divisors (29314132704).

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

11103530400 is a wasteful number, since it uses less digits than its factorization.

11103530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49804 (or 49788 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The spelling of 11103530400 in words is "eleven billion, one hundred three million, five hundred thirty thousand, four hundred".