30105120 has 96 divisors (see below), whose sum is σ = 99852480. Its totient is φ = 7603200.

The previous prime is 30105109. The next prime is 30105151. The reversal of 30105120 is 2150103.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 30105096 and 30105105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7470 + ... + 10770.

It is an arithmetic number, because the mean of its divisors is an integer number (1040130).

Almost surely, 2^30105120 is an apocalyptic number.

30105120 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 30105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49926240).

30105120 is an abundant number, since it is smaller than the sum of its proper divisors (69747360).

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

30105120 is a wasteful number, since it uses less digits than its factorization.

30105120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 30105120 is about 5486.8132827717. The cubic root of 30105120 is about 311.0857522792.

Adding to 30105120 its reverse (2150103), we get a palindrome (32255223).

The spelling of 30105120 in words is "thirty million, one hundred five thousand, one hundred twenty".