100213824 has 112 divisors (see below), whose sum is σ = 277977600. Its totient is φ = 31825920.

The previous prime is 100213819. The next prime is 100213849. The reversal of 100213824 is 428312001.

It is a self number, because there is not a number n which added to its sum of digits gives 100213824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 672502 + ... + 672650.

Almost surely, 2^100213824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100213824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138988800).

100213824 is an abundant number, since it is smaller than the sum of its proper divisors (177763776).

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

100213824 is a wasteful number, since it uses less digits than its factorization.

100213824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 100213824 is about 10010.6854910141. The cubic root of 100213824 is about 464.4894755416.

Adding to 100213824 its reverse (428312001), we get a palindrome (528525825).

The spelling of 100213824 in words is "one hundred million, two hundred thirteen thousand, eight hundred twenty-four".