11265264100 has 18 divisors (see below), whose sum is σ = 24445623314. Its totient is φ = 4506105600.

The previous prime is 11265264091. The next prime is 11265264133. The reversal of 11265264100 is 146256211.

It can be written as a sum of positive squares in 3 ways, for example, as 51724864 + 11213539236 = 7192^2 + 105894^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56326221 + ... + 56326420.

Almost surely, 2^11265264100 is an apocalyptic number.

11265264100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11265264100 is an abundant number, since it is smaller than the sum of its proper divisors (13180359214).

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

11265264100 is a wasteful number, since it uses less digits than its factorization.

11265264100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112652655 (or 112652648 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 11265264100 in words is "eleven billion, two hundred sixty-five million, two hundred sixty-four thousand, one hundred".