10106105505 has 16 divisors (see below), whose sum is σ = 16286101440. Its totient is φ = 5351145408.

The previous prime is 10106105489. The next prime is 10106105509. The reversal of 10106105505 is 50550160101.

It is not a de Polignac number, because 10106105505 - 2⁴ = 10106105489 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10106105509) by changing a digit.

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, 2421442 + ... + 2425611.

It is an arithmetic number, because the mean of its divisors is an integer number (1017881340).

Almost surely, 2^10106105505 is an apocalyptic number.

10106105505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10106105505 is a deficient number, since it is larger than the sum of its proper divisors (6179995935).

10106105505 is a wasteful number, since it uses less digits than its factorization.

10106105505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4847200.

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 10106105505 its reverse (50550160101), we get a palindrome (60656265606).

The spelling of 10106105505 in words is "ten billion, one hundred six million, one hundred five thousand, five hundred five".