11005303100 has 72 divisors (see below), whose sum is σ = 26296316928. Its totient is φ = 3964484800.

The previous prime is 11005303091. The next prime is 11005303123. The reversal of 11005303100 is 130350011.

It is a super-2 number, since 2×11005303100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70949 + ... + 164451.

It is an arithmetic number, because the mean of its divisors is an integer number (365226624).

Almost surely, 2^11005303100 is an apocalyptic number.

11005303100 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 11005303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13148158464).

11005303100 is an abundant number, since it is smaller than the sum of its proper divisors (15291013828).

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

11005303100 is a wasteful number, since it uses less digits than its factorization.

11005303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93635 (or 93628 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 14.

Adding to 11005303100 its reverse (130350011), we get a palindrome (11135653111).

The spelling of 11005303100 in words is "eleven billion, five million, three hundred three thousand, one hundred".