30145016100 has 72 divisors (see below), whose sum is σ = 87363797248. Its totient is φ = 8025379200.

The previous prime is 30145016093. The next prime is 30145016101. The reversal of 30145016100 is 161054103.

It is not an unprimeable number, because it can be changed into a prime (30145016101) 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 23 ways as a sum of consecutive naturals, for example, 99330 + ... + 264870.

Almost surely, 2^30145016100 is an apocalyptic number.

30145016100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30145016100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43681898624).

30145016100 is an abundant number, since it is smaller than the sum of its proper divisors (57218781148).

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

30145016100 is a wasteful number, since it uses less digits than its factorization.

30145016100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166165 (or 166158 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The spelling of 30145016100 in words is "thirty billion, one hundred forty-five million, sixteen thousand, one hundred".