30106142616 has 96 divisors (see below), whose sum is σ = 82833070320. Its totient is φ = 9111674880.

The previous prime is 30106142597. The next prime is 30106142617. The reversal of 30106142616 is 61624160103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30106142617) 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 23 ways as a sum of consecutive naturals, for example, 2482680 + ... + 2494776.

Almost surely, 2^30106142616 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 30106142616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41416535160).

30106142616 is an abundant number, since it is smaller than the sum of its proper divisors (52726927704).

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

30106142616 is a wasteful number, since it uses less digits than its factorization.

30106142616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12985 (or 12970 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 30106142616 in words is "thirty billion, one hundred six million, one hundred forty-two thousand, six hundred sixteen".