21832638100 has 288 divisors, whose sum is σ = 60924878336. Its totient is φ = 6606489600.

The previous prime is 21832638097. The next prime is 21832638103. The reversal of 21832638100 is 183623812.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21832638097) and next prime (21832638103).

It is a super-2 number, since 2×21832638100² (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 (21832638103) 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 95 ways as a sum of consecutive naturals, for example, 20538169 + ... + 20539231.

Almost surely, 2^21832638100 is an apocalyptic number.

21832638100 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 21832638100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30462439168).

21832638100 is an abundant number, since it is smaller than the sum of its proper divisors (39092240236).

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

21832638100 is a wasteful number, since it uses less digits than its factorization.

21832638100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 21832638100 in words is "twenty-one billion, eight hundred thirty-two million, six hundred thirty-eight thousand, one hundred".