30005354405100 has 144 divisors (see below), whose sum is σ = 88291307744640. Its totient is φ = 7865421388800.

The previous prime is 30005354405087. The next prime is 30005354405101. The reversal of 30005354405100 is 150445350003.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (30005354405101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602359195 + ... + 602409005.

It is an arithmetic number, because the mean of its divisors is an integer number (613134081560).

Almost surely, 2^{30005354405100} is an apocalyptic number.

30005354405100 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 30005354405100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44145653872320).

30005354405100 is an abundant number, since it is smaller than the sum of its proper divisors (58285953339540).

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

30005354405100 is a wasteful number, since it uses less digits than its factorization.

30005354405100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83920 (or 83913 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 30005354405100 its reverse (150445350003), we get a palindrome (30155799755103).

The spelling of 30005354405100 in words is "thirty trillion, five billion, three hundred fifty-four million, four hundred five thousand, one hundred".