30364319106 has 144 divisors (see below), whose sum is σ = 77088945024. Its totient is φ = 8601120000.

The previous prime is 30364319087. The next prime is 30364319113. The reversal of 30364319106 is 60191346303.

30364319106 is a `hidden beast` number, since 3 + 0 + 3 + 643 + 1 + 9 + 1 + 0 + 6 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5588211 + ... + 5593641.

It is an arithmetic number, because the mean of its divisors is an integer number (535339896).

Almost surely, 2^30364319106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30364319106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38544472512).

30364319106 is an abundant number, since it is smaller than the sum of its proper divisors (46724625918).

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

30364319106 is a wasteful number, since it uses less digits than its factorization.

30364319106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5629 (or 5615 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 30364319106 in words is "thirty billion, three hundred sixty-four million, three hundred nineteen thousand, one hundred six".