11100001900 has 72 divisors (see below), whose sum is σ = 25963744464. Its totient is φ = 4094688000.

The previous prime is 11100001883. The next prime is 11100001901. The reversal of 11100001900 is 910000111.

11100001900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11100001900² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (11100001901) 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 23 ways as a sum of consecutive naturals, for example, 1688019 + ... + 1694581.

It is an arithmetic number, because the mean of its divisors is an integer number (360607562).

Almost surely, 2^11100001900 is an apocalyptic number.

11100001900 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 11100001900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12981872232).

11100001900 is an abundant number, since it is smaller than the sum of its proper divisors (14863742564).

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

11100001900 is a wasteful number, since it uses less digits than its factorization.

11100001900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7891 (or 7884 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 11100001900 in words is "eleven billion, one hundred million, one thousand, nine hundred".