214306041105 has 48 divisors (see below), whose sum is σ = 410849821200. Its totient is φ = 102653028864.

The previous prime is 214306041083. The next prime is 214306041109. The reversal of 214306041105 is 501140603412.

It is a happy number.

214306041105 is a `hidden beast` number, since 2 + 1 + 43 + 0 + 604 + 1 + 10 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 19486205649 + 194819835456 = 139593^2 + 441384^2 .

It is not a de Polignac number, because 214306041105 - 2⁵ = 214306041073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214306041109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4928830 + ... + 4972119.

It is an arithmetic number, because the mean of its divisors is an integer number (8559371275).

Almost surely, 2^214306041105 is an apocalyptic number.

It is an amenable number.

214306041105 is a deficient number, since it is larger than the sum of its proper divisors (196543780095).

214306041105 is a wasteful number, since it uses less digits than its factorization.

214306041105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9901010 (or 9901007 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 214306041105 its reverse (501140603412), we get a palindrome (715446644517).

The spelling of 214306041105 in words is "two hundred fourteen billion, three hundred six million, forty-one thousand, one hundred five".