30302966106 has 192 divisors, whose sum is σ = 83667471360. Its totient is φ = 7957958400.

The previous prime is 30302966087. The next prime is 30302966119. The reversal of 30302966106 is 60166920303.

30302966106 is a `hidden beast` number, since 3 + 0 + 30 + 2 + 9 + 6 + 610 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4694181 + ... + 4700631.

It is an arithmetic number, because the mean of its divisors is an integer number (435768080).

Almost surely, 2^30302966106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30302966106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41833735680).

30302966106 is an abundant number, since it is smaller than the sum of its proper divisors (53364505254).

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

30302966106 is a wasteful number, since it uses less digits than its factorization.

30302966106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6546 (or 6523 counting only the distinct ones).

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

The spelling of 30302966106 in words is "thirty billion, three hundred two million, nine hundred sixty-six thousand, one hundred six".