10104103440 has 240 divisors, whose sum is σ = 35683006320. Its totient is φ = 2558545920.

The previous prime is 10104103417. The next prime is 10104103441. The reversal of 10104103440 is 4430140101.

It can be written as a sum of positive squares in 8 ways, for example, as 2088124416 + 8015979024 = 45696^2 + 89532^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10104103441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1269714 + ... + 1277646.

It is an arithmetic number, because the mean of its divisors is an integer number (148679193).

Almost surely, 2^10104103440 is an apocalyptic number.

10104103440 is a gapful number since it is divisible by the number (10) 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 10104103440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17841503160).

10104103440 is an abundant number, since it is smaller than the sum of its proper divisors (25578902880).

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

10104103440 is a wasteful number, since it uses less digits than its factorization.

10104103440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8042 (or 8033 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10104103440 its reverse (4430140101), we get a palindrome (14534243541).

The spelling of 10104103440 in words is "ten billion, one hundred four million, one hundred three thousand, four hundred forty".