21724469100 has 216 divisors, whose sum is σ = 70002009168. Its totient is φ = 5631897600.

The previous prime is 21724469083. The next prime is 21724469113. The reversal of 21724469100 is 196442712.

It is a happy number.

21724469100 is a `hidden beast` number, since 21 + 72 + 4 + 469 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 12434427 + ... + 12436173.

Almost surely, 2^21724469100 is an apocalyptic number.

21724469100 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 21724469100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35001004584).

21724469100 is an abundant number, since it is smaller than the sum of its proper divisors (48277540068).

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

21724469100 is a wasteful number, since it uses less digits than its factorization.

21724469100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 21724469100 in words is "twenty-one billion, seven hundred twenty-four million, four hundred sixty-nine thousand, one hundred".