21214035606105 has 192 divisors, whose sum is σ = 39586282444800. Its totient is φ = 10478232161280.

The previous prime is 21214035606083. The next prime is 21214035606109. The reversal of 21214035606105 is 50160653041212.

21214035606105 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 4 + 0 + 35 + 6 + 0 + 610 + 5 = 666.

It is not a de Polignac number, because 21214035606105 - 2⁵ = 21214035606073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21214035606105.

It is not an unprimeable number, because it can be changed into a prime (21214035606109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3087470820 + ... + 3087477690.

It is an arithmetic number, because the mean of its divisors is an integer number (206178554400).

Almost surely, 2^{21214035606105} is an apocalyptic number.

It is an amenable number.

21214035606105 is a deficient number, since it is larger than the sum of its proper divisors (18372246838695).

21214035606105 is a wasteful number, since it uses less digits than its factorization.

21214035606105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7436 (or 7433 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 21214035606105 its reverse (50160653041212), we get a palindrome (71374688647317).

The spelling of 21214035606105 in words is "twenty-one trillion, two hundred fourteen billion, thirty-five million, six hundred six thousand, one hundred five".