10303734042 has 96 divisors (see below), whose sum is σ = 25956403200. Its totient is φ = 2893255200.

The previous prime is 10303734011. The next prime is 10303734047. The reversal of 10303734042 is 24043730301.

10303734042 is a `hidden beast` number, since 10 + 303 + 7 + 340 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10303733997 and 10303734015.

It is not an unprimeable number, because it can be changed into a prime (10303734047) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2078667 + ... + 2083617.

It is an arithmetic number, because the mean of its divisors is an integer number (270379200).

Almost surely, 2^10303734042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10303734042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12978201600).

10303734042 is an abundant number, since it is smaller than the sum of its proper divisors (15652669158).

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

10303734042 is a wasteful number, since it uses less digits than its factorization.

10303734042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5248 (or 5245 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The spelling of 10303734042 in words is "ten billion, three hundred three million, seven hundred thirty-four thousand, forty-two".