30105216 has 128 divisors (see below), whose sum is σ = 92044800. Its totient is φ = 9676800.

The previous prime is 30105209. The next prime is 30105307. The reversal of 30105216 is 61250103.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an alternating number because its digits alternate between odd and even.

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, 106996 + ... + 107276.

It is an arithmetic number, because the mean of its divisors is an integer number (719100).

Almost surely, 2^30105216 is an apocalyptic number.

30105216 is a gapful number since it is divisible by the number (36) 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 30105216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46022400).

30105216 is an abundant number, since it is smaller than the sum of its proper divisors (61939584).

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

30105216 is a wasteful number, since it uses less digits than its factorization.

30105216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 30105216 is about 5486.8220310121. The cubic root of 30105216 is about 311.0860829450.

Adding to 30105216 its reverse (61250103), we get a palindrome (91355319).

The spelling of 30105216 in words is "thirty million, one hundred five thousand, two hundred sixteen".