100253431001364 has 96 divisors (see below), whose sum is σ = 245737675653120. Its totient is φ = 31766449427328.

The previous prime is 100253431001309. The next prime is 100253431001369. The reversal of 100253431001364 is 463100134352001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100253431001369) 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 31 ways as a sum of consecutive naturals, for example, 41325757 + ... + 43684379.

It is an arithmetic number, because the mean of its divisors is an integer number (2559767454720).

Almost surely, 2^{100253431001364} 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 100253431001364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122868837826560).

100253431001364 is an abundant number, since it is smaller than the sum of its proper divisors (145484244651756).

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

100253431001364 is a wasteful number, since it uses less digits than its factorization.

100253431001364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360549 (or 2360547 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 100253431001364 its reverse (463100134352001), we get a palindrome (563353565353365).

The spelling of 100253431001364 in words is "one hundred trillion, two hundred fifty-three billion, four hundred thirty-one million, one thousand, three hundred sixty-four".