11103254400 has 384 divisors, whose sum is σ = 42157301760. Its totient is φ = 2515968000.

The previous prime is 11103254381. The next prime is 11103254401. The reversal of 11103254400 is 445230111.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×11103254400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11103254401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8533750 + ... + 8535050.

It is an arithmetic number, because the mean of its divisors is an integer number (109784640).

Almost surely, 2^11103254400 is an apocalyptic number.

11103254400 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 11103254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21078650880).

11103254400 is an abundant number, since it is smaller than the sum of its proper divisors (31054047360).

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

11103254400 is a wasteful number, since it uses less digits than its factorization.

11103254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 11103254400 its reverse (445230111), we get a palindrome (11548484511).

The spelling of 11103254400 in words is "eleven billion, one hundred three million, two hundred fifty-four thousand, four hundred".