103432143010240 has 224 divisors, whose sum is σ = 270143678363328. Its totient is φ = 37408382976000.

The previous prime is 103432143010181. The next prime is 103432143010291. The reversal of 103432143010240 is 42010341234301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 103432143010199 and 103432143010208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 676034550 + ... + 676187530.

It is an arithmetic number, because the mean of its divisors is an integer number (1205998564122).

Almost surely, 2^{103432143010240} is an apocalyptic number.

103432143010240 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 103432143010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135071839181664).

103432143010240 is an abundant number, since it is smaller than the sum of its proper divisors (166711535353088).

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

103432143010240 is a wasteful number, since it uses less digits than its factorization.

103432143010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154047 (or 154037 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 103432143010240 its reverse (42010341234301), we get a palindrome (145442484244541).

The spelling of 103432143010240 in words is "one hundred three trillion, four hundred thirty-two billion, one hundred forty-three million, ten thousand, two hundred forty".