30105105030 has 1024 divisors, whose sum is σ = 117050572800. Its totient is φ = 5300951040.

The previous prime is 30105105013. The next prime is 30105105077. The reversal of 30105105030 is 3050150103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30105104994 and 30105105012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 180270007 + ... + 180270173.

It is an arithmetic number, because the mean of its divisors is an integer number (114307200).

Almost surely, 2^30105105030 is an apocalyptic number.

30105105030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30105105030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58525286400).

30105105030 is an abundant number, since it is smaller than the sum of its proper divisors (86945467770).

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

30105105030 is a wasteful number, since it uses less digits than its factorization.

30105105030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

Adding to 30105105030 its reverse (3050150103), we get a palindrome (33155255133).

The spelling of 30105105030 in words is "thirty billion, one hundred five million, one hundred five thousand, thirty".