100215354432 has 224 divisors, whose sum is σ = 274590808704. Its totient is φ = 32241664000.

The previous prime is 100215354311. The next prime is 100215354457. The reversal of 100215354432 is 234453512001.

100215354432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 100215354432.

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 31 ways as a sum of consecutive naturals, for example, 288804883 + ... + 288805229.

Almost surely, 2^100215354432 is an apocalyptic number.

100215354432 is a gapful number since it is divisible by the number (12) 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 100215354432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137295404352).

100215354432 is an abundant number, since it is smaller than the sum of its proper divisors (174375454272).

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

100215354432 is a wasteful number, since it uses less digits than its factorization.

100215354432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 100215354432 its reverse (234453512001), we get a palindrome (334668866433).

The spelling of 100215354432 in words is "one hundred billion, two hundred fifteen million, three hundred fifty-four thousand, four hundred thirty-two".