11304442100 has 108 divisors (see below), whose sum is σ = 29232152460. Its totient is φ = 3781209600.

The previous prime is 11304442087. The next prime is 11304442117. The reversal of 11304442100 is 124440311.

It can be written as a sum of positive squares in 6 ways, for example, as 60808804 + 11243633296 = 7798^2 + 106036^2 .

It is a super-3 number, since 3×11304442100³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 172766 + ... + 229034.

Almost surely, 2^11304442100 is an apocalyptic number.

11304442100 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 11304442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14616076230).

11304442100 is an abundant number, since it is smaller than the sum of its proper divisors (17927710360).

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

11304442100 is a wasteful number, since it uses less digits than its factorization.

11304442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56338 (or 56324 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11304442100 its reverse (124440311), we get a palindrome (11428882411).

The spelling of 11304442100 in words is "eleven billion, three hundred four million, four hundred forty-two thousand, one hundred".