11087531100 has 216 divisors, whose sum is σ = 36724680720. Its totient is φ = 2900551680.

The previous prime is 11087531057. The next prime is 11087531101. The reversal of 11087531100 is 113578011.

11087531100 is a `hidden beast` number, since 110 + 8 + 7 + 531 + 10 + 0 = 666.

11087531100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11087531101) 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 71 ways as a sum of consecutive naturals, for example, 1283596 + ... + 1292204.

It is an arithmetic number, because the mean of its divisors is an integer number (170021670).

Almost surely, 2^11087531100 is an apocalyptic number.

11087531100 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 11087531100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18362340360).

11087531100 is an abundant number, since it is smaller than the sum of its proper divisors (25637149620).

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

11087531100 is a wasteful number, since it uses less digits than its factorization.

11087531100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8691 (or 8672 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

The spelling of 11087531100 in words is "eleven billion, eighty-seven million, five hundred thirty-one thousand, one hundred".