10103141440 has 168 divisors, whose sum is σ = 28097802072. Its totient is φ = 3450101760.

The previous prime is 10103141431. The next prime is 10103141467. The reversal of 10103141440 is 4414130101.

It can be written as a sum of positive squares in 4 ways, for example, as 900960256 + 9202181184 = 30016^2 + 95928^2 .

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 23 ways as a sum of consecutive naturals, for example, 4404934 + ... + 4407226.

Almost surely, 2^10103141440 is an apocalyptic number.

10103141440 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 10103141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14048901036).

10103141440 is an abundant number, since it is smaller than the sum of its proper divisors (17994660632).

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

10103141440 is a wasteful number, since it uses less digits than its factorization.

10103141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10103141440 its reverse (4414130101), we get a palindrome (14517271541).

The spelling of 10103141440 in words is "ten billion, one hundred three million, one hundred forty-one thousand, four hundred forty".