21682105300 has 18 divisors (see below), whose sum is σ = 47050168718. Its totient is φ = 8672842080.

The previous prime is 21682105261. The next prime is 21682105309. The reversal of 21682105300 is 350128612.

It can be written as a sum of positive squares in 3 ways, for example, as 85451536 + 21596653764 = 9244^2 + 146958^2 .

It is a super-2 number, since 2×21682105300² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21682105309) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 108410427 + ... + 108410626.

Almost surely, 2^21682105300 is an apocalyptic number.

21682105300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21682105300 is an abundant number, since it is smaller than the sum of its proper divisors (25368063418).

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

21682105300 is a wasteful number, since it uses less digits than its factorization.

21682105300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216821067 (or 216821060 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 21682105300 in words is "twenty-one billion, six hundred eighty-two million, one hundred five thousand, three hundred".