30105007506 has 32 divisors (see below), whose sum is σ = 76457162880. Its totient is φ = 8601430608.

The previous prime is 30105007483. The next prime is 30105007507. The reversal of 30105007506 is 60570050103.

30105007506 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30105007506² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 30105007506.

It is not an unprimeable number, because it can be changed into a prime (30105007507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39821061 + ... + 39821816.

It is an arithmetic number, because the mean of its divisors is an integer number (2389286340).

Almost surely, 2^30105007506 is an apocalyptic number.

30105007506 is an abundant number, since it is smaller than the sum of its proper divisors (46352155374).

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

30105007506 is a wasteful number, since it uses less digits than its factorization.

30105007506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79642895 (or 79642889 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

Adding to 30105007506 its reverse (60570050103), we get a palindrome (90675057609).

The spelling of 30105007506 in words is "thirty billion, one hundred five million, seven thousand, five hundred six".