10405032105 has 32 divisors (see below), whose sum is σ = 17934134400. Its totient is φ = 5120916480.

The previous prime is 10405032101. The next prime is 10405032163. The reversal of 10405032105 is 50123050401.

It is not a de Polignac number, because 10405032105 - 2² = 10405032101 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10405032101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 883546 + ... + 895244.

It is an arithmetic number, because the mean of its divisors is an integer number (560441700).

Almost surely, 2^10405032105 is an apocalyptic number.

10405032105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10405032105 is a deficient number, since it is larger than the sum of its proper divisors (7529102295).

10405032105 is a wasteful number, since it uses less digits than its factorization.

10405032105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16281.

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 10405032105 its reverse (50123050401), we get a palindrome (60528082506).

The spelling of 10405032105 in words is "ten billion, four hundred five million, thirty-two thousand, one hundred five".