11134342100 has 144 divisors (see below), whose sum is σ = 29592355968. Its totient is φ = 3549327360.

The previous prime is 11134341991. The next prime is 11134342147. The reversal of 11134342100 is 124343111.

11134342100 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 (20).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 982064 + ... + 993336.

It is an arithmetic number, because the mean of its divisors is an integer number (205502472).

Almost surely, 2^11134342100 is an apocalyptic number.

11134342100 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 11134342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14796177984).

11134342100 is an abundant number, since it is smaller than the sum of its proper divisors (18458013868).

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

11134342100 is a wasteful number, since it uses less digits than its factorization.

11134342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11394 (or 11387 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11134342100 its reverse (124343111), we get a palindrome (11258685211).

The spelling of 11134342100 in words is "eleven billion, one hundred thirty-four million, three hundred forty-two thousand, one hundred".