10005102105 has 64 divisors (see below), whose sum is σ = 16657497600. Its totient is φ = 5123948544.

The previous prime is 10005102007. The next prime is 10005102119. The reversal of 10005102105 is 50120150001.

10005102105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10005102105 - 2⁹ = 10005101593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17339577 + ... + 17340153.

It is an arithmetic number, because the mean of its divisors is an integer number (260273400).

Almost surely, 2^10005102105 is an apocalyptic number.

10005102105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10005102105 is a deficient number, since it is larger than the sum of its proper divisors (6652395495).

10005102105 is a wasteful number, since it uses less digits than its factorization.

10005102105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978.

The product of its (nonzero) digits is 50, while the sum is 15.

Adding to 10005102105 its reverse (50120150001), we get a palindrome (60125252106).

The spelling of 10005102105 in words is "ten billion, five million, one hundred two thousand, one hundred five".