11214100 has 36 divisors (see below), whose sum is σ = 24553984. Its totient is φ = 4445280.

The previous prime is 11214061. The next prime is 11214107. The reversal of 11214100 is 141211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11214107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12259 + ... + 13141.

Almost surely, 2^11214100 is an apocalyptic number.

11214100 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 11214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12276992).

11214100 is an abundant number, since it is smaller than the sum of its proper divisors (13339884).

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

11214100 is a wasteful number, since it uses less digits than its factorization.

11214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 11214100 is about 3348.7460339655. The cubic root of 11214100 is about 223.8316390083.

Adding to 11214100 its reverse (141211), we get a palindrome (11355311).

The spelling of 11214100 in words is "eleven million, two hundred fourteen thousand, one hundred".