11115108900 has 576 divisors, whose sum is σ = 42983915520. Its totient is φ = 2410560000.

The previous prime is 11115108887. The next prime is 11115108911. The reversal of 11115108900 is 980151111.

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

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 191 ways as a sum of consecutive naturals, for example, 35739745 + ... + 35740055.

Almost surely, 2^11115108900 is an apocalyptic number.

11115108900 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 11115108900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21491957760).

11115108900 is an abundant number, since it is smaller than the sum of its proper divisors (31868806620).

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

11115108900 is a wasteful number, since it uses less digits than its factorization.

11115108900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 27.

The spelling of 11115108900 in words is "eleven billion, one hundred fifteen million, one hundred eight thousand, nine hundred".