4212105305 has 16 divisors (see below), whose sum is σ = 5153310720. Its totient is φ = 3303912768.

The previous prime is 4212105277. The next prime is 4212105311. The reversal of 4212105305 is 5035012124.

It is a cyclic number.

It is not a de Polignac number, because 4212105305 - 2¹⁴ = 4212088921 is a prime.

It is a super-2 number, since 2×4212105305² = 35483662200818286050, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478736 + ... + 487454.

It is an arithmetic number, because the mean of its divisors is an integer number (322081920).

Almost surely, 2^4212105305 is an apocalyptic number.

It is an amenable number.

4212105305 is a deficient number, since it is larger than the sum of its proper divisors (941205415).

4212105305 is a wasteful number, since it uses less digits than its factorization.

4212105305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10600.

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 4212105305 is about 64900.7342408389. The cubic root of 4212105305 is about 1614.9772421846.

Adding to 4212105305 its reverse (5035012124), we get a palindrome (9247117429).

The spelling of 4212105305 in words is "four billion, two hundred twelve million, one hundred five thousand, three hundred five".