30006104128 has 252 divisors, whose sum is σ = 81836952912. Its totient is φ = 10789309440.

The previous prime is 30006104123. The next prime is 30006104153. The reversal of 30006104128 is 82140160003.

It is not an unprimeable number, because it can be changed into a prime (30006104123) 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 35 ways as a sum of consecutive naturals, for example, 5827251 + ... + 5832397.

Almost surely, 2^30006104128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30006104128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40918476456).

30006104128 is an abundant number, since it is smaller than the sum of its proper divisors (51830848784).

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

30006104128 is a wasteful number, since it uses less digits than its factorization.

30006104128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5210 (or 5180 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 30006104128 in words is "thirty billion, six million, one hundred four thousand, one hundred twenty-eight".