21106184400 has 360 divisors, whose sum is σ = 83976946560. Its totient is φ = 4808770560.

The previous prime is 21106184381. The next prime is 21106184417. The reversal of 21106184400 is 448160112.

It is a happy number.

21106184400 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 618 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9045634 + ... + 9047966.

It is an arithmetic number, because the mean of its divisors is an integer number (233269296).

Almost surely, 2^21106184400 is an apocalyptic number.

21106184400 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 21106184400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41988473280).

21106184400 is an abundant number, since it is smaller than the sum of its proper divisors (62870762160).

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

21106184400 is a wasteful number, since it uses less digits than its factorization.

21106184400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 21106184400 in words is "twenty-one billion, one hundred six million, one hundred eighty-four thousand, four hundred".