11388100 has 36 divisors (see below), whose sum is σ = 25248384. Its totient is φ = 4456480.

The previous prime is 11388061. The next prime is 11388103. The reversal of 11388100 is 188311.

It is a super-2 number, since 2×11388100² = 259377643220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11388103) 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, 3489 + ... + 5911.

It is an arithmetic number, because the mean of its divisors is an integer number (701344).

Almost surely, 2^11388100 is an apocalyptic number.

11388100 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 11388100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12624192).

11388100 is an abundant number, since it is smaller than the sum of its proper divisors (13860284).

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

11388100 is a wasteful number, since it uses less digits than its factorization.

11388100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

The square root of 11388100 is about 3374.6259051930. The cubic root of 11388100 is about 224.9833732570.

The spelling of 11388100 in words is "eleven million, three hundred eighty-eight thousand, one hundred".