30105000 has 160 divisors (see below), whose sum is σ = 104966400. Its totient is φ = 7992000.

The previous prime is 30104989. The next prime is 30105059. The reversal of 30105000 is 50103.

It is a super-2 number, since 2×30105000² = 1812622050000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134889 + ... + 135111.

It is an arithmetic number, because the mean of its divisors is an integer number (656040).

Almost surely, 2^30105000 is an apocalyptic number.

30105000 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 30105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52483200).

30105000 is an abundant number, since it is smaller than the sum of its proper divisors (74861400).

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

30105000 is a wasteful number, since it uses less digits than its factorization.

30105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 30105000 is about 5486.8023474516. The cubic root of 30105000 is about 311.0853389460.

Adding to 30105000 its reverse (50103), we get a palindrome (30155103).

The spelling of 30105000 in words is "thirty million, one hundred five thousand".