21414304100 has 144 divisors (see below), whose sum is σ = 56769866496. Its totient is φ = 6851328000.

The previous prime is 21414304097. The next prime is 21414304117. The reversal of 21414304100 is 140341412.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 643880 + ... + 676320.

It is an arithmetic number, because the mean of its divisors is an integer number (394235184).

Almost surely, 2^21414304100 is an apocalyptic number.

21414304100 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 21414304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28384933248).

21414304100 is an abundant number, since it is smaller than the sum of its proper divisors (35355562396).

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

21414304100 is a wasteful number, since it uses less digits than its factorization.

21414304100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32526 (or 32519 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 21414304100 its reverse (140341412), we get a palindrome (21554645512).

The spelling of 21414304100 in words is "twenty-one billion, four hundred fourteen million, three hundred four thousand, one hundred".