11138900 has 72 divisors (see below), whose sum is σ = 26248320. Its totient is φ = 4090240.

The previous prime is 11138891. The next prime is 11138903. The reversal of 11138900 is 983111.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11138903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66617 + ... + 66783.

It is an arithmetic number, because the mean of its divisors is an integer number (364560).

Almost surely, 2^11138900 is an apocalyptic number.

11138900 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 11138900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124160).

11138900 is an abundant number, since it is smaller than the sum of its proper divisors (15109420).

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

11138900 is a wasteful number, since it uses less digits than its factorization.

11138900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 23.

The square root of 11138900 is about 3337.4990636703. The cubic root of 11138900 is about 223.3301898025.

The spelling of 11138900 in words is "eleven million, one hundred thirty-eight thousand, nine hundred".