11145564100 has 54 divisors (see below), whose sum is σ = 26584502042. Its totient is φ = 4052928000.

The previous prime is 11145564097. The next prime is 11145564109. The reversal of 11145564100 is 146554111.

11145564100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 326235844 + 10819328256 = 18062^2 + 104016^2 .

It is not an unprimeable number, because it can be changed into a prime (11145564109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 448461 + ... + 472660.

Almost surely, 2^11145564100 is an apocalyptic number.

11145564100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11145564100 is an abundant number, since it is smaller than the sum of its proper divisors (15438937942).

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

11145564100 is a wasteful number, since it uses less digits than its factorization.

11145564100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921157 (or 921139 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The spelling of 11145564100 in words is "eleven billion, one hundred forty-five million, five hundred sixty-four thousand, one hundred".