10105335405 has 24 divisors (see below), whose sum is σ = 19108271520. Its totient is φ = 4899556320.

The previous prime is 10105335377. The next prime is 10105335413. The reversal of 10105335405 is 50453350101.

10105335405 is a `hidden beast` number, since 10 + 105 + 3 + 3 + 540 + 5 = 666.

It is not a de Polignac number, because 10105335405 - 2⁶ = 10105335341 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10206915 + ... + 10207904.

It is an arithmetic number, because the mean of its divisors is an integer number (796177980).

Almost surely, 2^10105335405 is an apocalyptic number.

10105335405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10105335405 is a deficient number, since it is larger than the sum of its proper divisors (9002936115).

10105335405 is a wasteful number, since it uses less digits than its factorization.

10105335405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20414841 (or 20414838 counting only the distinct ones).

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

Adding to 10105335405 its reverse (50453350101), we get a palindrome (60558685506).

The spelling of 10105335405 in words is "ten billion, one hundred five million, three hundred thirty-five thousand, four hundred five".