10405016205 has 16 divisors (see below), whose sum is σ = 16650921600. Its totient is φ = 5548376768.

The previous prime is 10405016191. The next prime is 10405016353. The reversal of 10405016205 is 50261050401.

It is a cyclic number.

It is not a de Polignac number, because 10405016205 - 2⁹ = 10405015693 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33496 + ... + 148094.

It is an arithmetic number, because the mean of its divisors is an integer number (1040682600).

Almost surely, 2^10405016205 is an apocalyptic number.

10405016205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10405016205 is a deficient number, since it is larger than the sum of its proper divisors (6245905395).

10405016205 is a wasteful number, since it uses less digits than its factorization.

10405016205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120660.

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 10405016205 its reverse (50261050401), we get a palindrome (60666066606).

The spelling of 10405016205 in words is "ten billion, four hundred five million, sixteen thousand, two hundred five".