100215432432153 has 48 divisors (see below), whose sum is σ = 151577281486800. Its totient is φ = 63734192451072.

The previous prime is 100215432432133. The next prime is 100215432432197. The reversal of 100215432432153 is 351234234512001.

100215432432153 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 1 + 5 + 4 + 324 + 321 + 5 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 45318046769424 + 54897385662729 = 6731868^2 + 7409277^2 .

It is not a de Polignac number, because 100215432432153 - 2⁸ = 100215432431897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100215432432133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23690023 + ... + 27597971.

It is an arithmetic number, because the mean of its divisors is an integer number (3157860030975).

Almost surely, 2^{100215432432153} is an apocalyptic number.

It is an amenable number.

100215432432153 is a deficient number, since it is larger than the sum of its proper divisors (51361849054647).

100215432432153 is a wasteful number, since it uses less digits than its factorization.

100215432432153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909498 (or 3909495 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 100215432432153 its reverse (351234234512001), we get a palindrome (451449666944154).

The spelling of 100215432432153 in words is "one hundred trillion, two hundred fifteen billion, four hundred thirty-two million, four hundred thirty-two thousand, one hundred fifty-three".