21661100 has 72 divisors (see below), whose sum is σ = 49403088. Its totient is φ = 8236800.

The previous prime is 21661097. The next prime is 21661109. The reversal of 21661100 is 116612.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21661109) 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 23 ways as a sum of consecutive naturals, for example, 323267 + ... + 323333.

It is an arithmetic number, because the mean of its divisors is an integer number (686154).

Almost surely, 2^21661100 is an apocalyptic number.

21661100 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 21661100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24701544).

21661100 is an abundant number, since it is smaller than the sum of its proper divisors (27741988).

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

21661100 is a wasteful number, since it uses less digits than its factorization.

21661100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 21661100 is about 4654.1486869244. The cubic root of 21661100 is about 278.7576763958.

Adding to 21661100 its reverse (116612), we get a palindrome (21777712).

It can be divided in two parts, 216 and 61100, that added together give a palindrome (61316).

The spelling of 21661100 in words is "twenty-one million, six hundred sixty-one thousand, one hundred".