11505304100 has 36 divisors (see below), whose sum is σ = 24971659524. Its totient is φ = 4601172480.

The previous prime is 11505304079. The next prime is 11505304121. The reversal of 11505304100 is 140350511.

It is an interprime number because it is at equal distance from previous prime (11505304079) and next prime (11505304121).

It can be written as a sum of positive squares in 6 ways, for example, as 2164854784 + 9340449316 = 46528^2 + 96646^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 670832 + ... + 687768.

It is an arithmetic number, because the mean of its divisors is an integer number (693657209).

Almost surely, 2^11505304100 is an apocalyptic number.

11505304100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11505304100 is an abundant number, since it is smaller than the sum of its proper divisors (13466355424).

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

11505304100 is a wasteful number, since it uses less digits than its factorization.

11505304100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23744 (or 23737 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 11505304100 its reverse (140350511), we get a palindrome (11645654611).

The spelling of 11505304100 in words is "eleven billion, five hundred five million, three hundred four thousand, one hundred".