103142224140 has 192 divisors, whose sum is σ = 298552988160. Its totient is φ = 26595993600.

The previous prime is 103142224139. The next prime is 103142224217. The reversal of 103142224140 is 41422241301.

103142224140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 103142224140.

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 63 ways as a sum of consecutive naturals, for example, 47333571 + ... + 47335749.

It is an arithmetic number, because the mean of its divisors is an integer number (1554963480).

Almost surely, 2^103142224140 is an apocalyptic number.

103142224140 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 103142224140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149276494080).

103142224140 is an abundant number, since it is smaller than the sum of its proper divisors (195410764020).

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

103142224140 is a wasteful number, since it uses less digits than its factorization.

103142224140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2470 counting only the distinct ones).

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

Adding to 103142224140 its reverse (41422241301), we get a palindrome (144564465441).

The spelling of 103142224140 in words is "one hundred three billion, one hundred forty-two million, two hundred twenty-four thousand, one hundred forty".