30198165185100 has 432 divisors, whose sum is σ = 100465094822400. Its totient is φ = 6984933120000.

The previous prime is 30198165185047. The next prime is 30198165185117. The reversal of 30198165185100 is 158156189103.

It is a self number, because there is not a number n which added to its sum of digits gives 30198165185100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 334749801 + ... + 334839999.

Almost surely, 2^{30198165185100} is an apocalyptic number.

30198165185100 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 30198165185100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50232547411200).

30198165185100 is an abundant number, since it is smaller than the sum of its proper divisors (70266929637300).

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

30198165185100 is a wasteful number, since it uses less digits than its factorization.

30198165185100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90662 (or 90644 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 48.

The spelling of 30198165185100 in words is "thirty trillion, one hundred ninety-eight billion, one hundred sixty-five million, one hundred eighty-five thousand, one hundred".