103006039728 has 80 divisors (see below), whose sum is σ = 286618302080. Its totient is φ = 31771740672.

The previous prime is 103006039691. The next prime is 103006039729. The reversal of 103006039728 is 827930600301.

103006039728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103006039728² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103006039729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1274101 + ... + 1352532.

It is an arithmetic number, because the mean of its divisors is an integer number (3582728776).

Almost surely, 2^103006039728 is an apocalyptic number.

It is an amenable number.

103006039728 is an abundant number, since it is smaller than the sum of its proper divisors (183612262352).

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

103006039728 is a wasteful number, since it uses less digits than its factorization.

103006039728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626706 (or 2626700 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 103006039728 in words is "one hundred three billion, six million, thirty-nine thousand, seven hundred twenty-eight".