10405211205 has 32 divisors (see below), whose sum is σ = 17542972800. Its totient is φ = 5251848192.

The previous prime is 10405211203. The next prime is 10405211209. The reversal of 10405211205 is 50211250401.

It is not a de Polignac number, because 10405211205 - 2¹ = 10405211203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10405211203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259761 + ... + 297129.

It is an arithmetic number, because the mean of its divisors is an integer number (548217900).

Almost surely, 2^10405211205 is an apocalyptic number.

10405211205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10405211205 is a deficient number, since it is larger than the sum of its proper divisors (7137761595).

10405211205 is a wasteful number, since it uses less digits than its factorization.

10405211205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38373.

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 10405211205 its reverse (50211250401), we get a palindrome (60616461606).

The spelling of 10405211205 in words is "ten billion, four hundred five million, two hundred eleven thousand, two hundred five".