11304461100 has 144 divisors (see below), whose sum is σ = 35149500288. Its totient is φ = 2794767360.

The previous prime is 11304461093. The next prime is 11304461101. The reversal of 11304461100 is 116440311.

It is a super-3 number, since 3×11304461100³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (11304461101) 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, 325159 + ... + 358241.

It is an arithmetic number, because the mean of its divisors is an integer number (244093752).

Almost surely, 2^11304461100 is an apocalyptic number.

11304461100 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 11304461100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17574750144).

11304461100 is an abundant number, since it is smaller than the sum of its proper divisors (23845039188).

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

11304461100 is a wasteful number, since it uses less digits than its factorization.

11304461100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33184 (or 33177 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 11304461100 in words is "eleven billion, three hundred four million, four hundred sixty-one thousand, one hundred".