11105105100 has 72 divisors (see below), whose sum is σ = 32141567808. Its totient is φ = 2960366400.

The previous prime is 11105105087. The next prime is 11105105119. The reversal of 11105105100 is 150150111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11105105100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1475547 + ... + 1483053.

It is an arithmetic number, because the mean of its divisors is an integer number (446410664).

Almost surely, 2^11105105100 is an apocalyptic number.

11105105100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11105105100 is an abundant number, since it is smaller than the sum of its proper divisors (21036462708).

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

11105105100 is a wasteful number, since it uses less digits than its factorization.

11105105100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12455 (or 12448 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 15.

Adding to 11105105100 its reverse (150150111), we get a palindrome (11255255211).

The spelling of 11105105100 in words is "eleven billion, one hundred five million, one hundred five thousand, one hundred".