11144354100 has 216 divisors, whose sum is σ = 35586305664. Its totient is φ = 2690688000.

The previous prime is 11144354027. The next prime is 11144354113. The reversal of 11144354100 is 145344111.

It is a happy number.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 12232645 + ... + 12233555.

Almost surely, 2^11144354100 is an apocalyptic number.

11144354100 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 11144354100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17793152832).

11144354100 is an abundant number, since it is smaller than the sum of its proper divisors (24441951564).

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

11144354100 is a wasteful number, since it uses less digits than its factorization.

11144354100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 11144354100 its reverse (145344111), we get a palindrome (11289698211).

The spelling of 11144354100 in words is "eleven billion, one hundred forty-four million, three hundred fifty-four thousand, one hundred".