21466100 has 36 divisors (see below), whose sum is σ = 47082924. Its totient is φ = 8494080.

The previous prime is 21466099. The next prime is 21466103. The reversal of 21466100 is 166412.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 708964 + 20757136 = 842^2 + 4556^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21466103) 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, 8594 + ... + 10806.

It is an arithmetic number, because the mean of its divisors is an integer number (1307859).

Almost surely, 2^21466100 is an apocalyptic number.

21466100 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 21466100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23541462).

21466100 is an abundant number, since it is smaller than the sum of its proper divisors (25616824).

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

21466100 is a wasteful number, since it uses less digits than its factorization.

21466100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 21466100 is about 4633.1522746398. The cubic root of 21466100 is about 277.9186657152.

It can be divided in two parts, 21 and 466100, that multiplied together give a triangular number (9788100 = T₄₄₂₄).

The spelling of 21466100 in words is "twenty-one million, four hundred sixty-six thousand, one hundred".