11190900 has 108 divisors (see below), whose sum is σ = 37518432. Its totient is φ = 2522880.

The previous prime is 11190899. The next prime is 11190911. The reversal of 11190900 is 909111.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 153264 + ... + 153336.

Almost surely, 2^11190900 is an apocalyptic number.

11190900 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 11190900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18759216).

11190900 is an abundant number, since it is smaller than the sum of its proper divisors (26327532).

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

11190900 is a wasteful number, since it uses less digits than its factorization.

11190900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 21.

The square root of 11190900 is about 3345.2802573178. The cubic root of 11190900 is about 223.6771763465.

Multiplying 11190900 by its sum of digits (21), we get a square (235008900 = 15330²).

11190900 divided by its sum of digits (21) gives a square (532900 = 730²).

It can be divided in two parts, 11190 and 900, that added together give a triangular number (12090 = T₁₅₅).

The spelling of 11190900 in words is "eleven million, one hundred ninety thousand, nine hundred".