10104432144 has 80 divisors (see below), whose sum is σ = 27073695744. Its totient is φ = 3243945600.

The previous prime is 10104432133. The next prime is 10104432181. The reversal of 10104432144 is 44123440101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297877 + ... + 330059.

Almost surely, 2^10104432144 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 10104432144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13536847872).

10104432144 is an abundant number, since it is smaller than the sum of its proper divisors (16969263600).

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

10104432144 is a wasteful number, since it uses less digits than its factorization.

10104432144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32436 (or 32430 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10104432144 its reverse (44123440101), we get a palindrome (54227872245).

The spelling of 10104432144 in words is "ten billion, one hundred four million, four hundred thirty-two thousand, one hundred forty-four".