100044012304431 has 64 divisors (see below), whose sum is σ = 165375928368000. Its totient is φ = 59349858140160.

The previous prime is 100044012304319. The next prime is 100044012304469. The reversal of 100044012304431 is 134403210440001.

100044012304431 is a `hidden beast` number, since 100 + 0 + 4 + 4 + 0 + 123 + 0 + 4 + 431 = 666.

It is not a de Polignac number, because 100044012304431 - 2³⁹ = 99494256490543 is a prime.

It is a super-2 number, since 2×100044012304431² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100044012304395 and 100044012304404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100044012804431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1141776 + ... + 14191253.

It is an arithmetic number, because the mean of its divisors is an integer number (2583998880750).

Almost surely, 2^{100044012304431} is an apocalyptic number.

100044012304431 is a deficient number, since it is larger than the sum of its proper divisors (65331916063569).

100044012304431 is a wasteful number, since it uses less digits than its factorization.

100044012304431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15333721 (or 15333715 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 100044012304431 its reverse (134403210440001), we get a palindrome (234447222744432).

The spelling of 100044012304431 in words is "one hundred trillion, forty-four billion, twelve million, three hundred four thousand, four hundred thirty-one".