10405315305 has 48 divisors (see below), whose sum is σ = 22486299264. Its totient is φ = 4324285440.

The previous prime is 10405315303. The next prime is 10405315313. The reversal of 10405315305 is 50351350401.

10405315305 is a `hidden beast` number, since 1 + 0 + 40 + 5 + 315 + 305 = 666.

It is not a de Polignac number, because 10405315305 - 2¹ = 10405315303 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10405315303) 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, 1498024 + ... + 1504953.

It is an arithmetic number, because the mean of its divisors is an integer number (468464568).

Almost surely, 2^10405315305 is an apocalyptic number.

10405315305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10405315305 is an abundant number, since it is smaller than the sum of its proper divisors (12080983959).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10405315305 is a wasteful number, since it uses less digits than its factorization.

10405315305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003006 (or 3003003 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 10405315305 its reverse (50351350401), we get a palindrome (60756665706).

The spelling of 10405315305 in words is "ten billion, four hundred five million, three hundred fifteen thousand, three hundred five".