30105660 has 72 divisors (see below), whose sum is σ = 91309680. Its totient is φ = 7408128.

The previous prime is 30105653. The next prime is 30105707. The reversal of 30105660 is 6650103.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8656 + ... + 11624.

It is an arithmetic number, because the mean of its divisors is an integer number (1268190).

Almost surely, 2^30105660 is an apocalyptic number.

30105660 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 30105660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45654840).

30105660 is an abundant number, since it is smaller than the sum of its proper divisors (61204020).

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

30105660 is a wasteful number, since it uses less digits than its factorization.

30105660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 30105660 is about 5486.8624914426. The cubic root of 30105660 is about 311.0876122652.

Adding to 30105660 its reverse (6650103), we get a palindrome (36755763).

The spelling of 30105660 in words is "thirty million, one hundred five thousand, six hundred sixty".