11144100 has 108 divisors (see below), whose sum is σ = 35556752. Its totient is φ = 2692800.

The previous prime is 11144083. The next prime is 11144117. The reversal of 11144100 is 144111.

It is an interprime number because it is at equal distance from previous prime (11144083) and next prime (11144117).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36147 + ... + 36453.

Almost surely, 2^11144100 is an apocalyptic number.

11144100 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 11144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17778376).

11144100 is an abundant number, since it is smaller than the sum of its proper divisors (24412652).

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

11144100 is a wasteful number, since it uses less digits than its factorization.

11144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 11144100 is about 3338.2779992086. The cubic root of 11144100 is about 223.3649369894.

Adding to 11144100 its reverse (144111), we get a palindrome (11288211).

The spelling of 11144100 in words is "eleven million, one hundred forty-four thousand, one hundred".