21095200 has 72 divisors (see below), whose sum is σ = 58871232. Its totient is φ = 7230720.

The previous prime is 21095177. The next prime is 21095201. The reversal of 21095200 is 259012.

It is not an unprimeable number, because it can be changed into a prime (21095201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3717 + ... + 7483.

It is an arithmetic number, because the mean of its divisors is an integer number (817656).

Almost surely, 2^21095200 is an apocalyptic number.

21095200 is a gapful number since it is divisible by the number (20) 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 21095200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29435616).

21095200 is an abundant number, since it is smaller than the sum of its proper divisors (37776032).

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

21095200 is a wasteful number, since it uses less digits than its factorization.

21095200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3794 (or 3781 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 21095200 is about 4592.9511210114. The cubic root of 21095200 is about 276.3086933293.

It can be divided in two parts, 2 and 1095200, that multiplied together give a square (2190400 = 1480²).

The spelling of 21095200 in words is "twenty-one million, ninety-five thousand, two hundred".