10005111000105 has 16 divisors (see below), whose sum is σ = 17239575877440. Its totient is φ = 4925593107648.

The previous prime is 10005111000089. The next prime is 10005111000107. The reversal of 10005111000105 is 50100011150001.

It is not a de Polignac number, because 10005111000105 - 2⁴ = 10005111000089 is a prime.

It is a super-2 number, since 2×10005111000105² (a number of 27 digits) contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10005111000107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25654130575 + ... + 25654130964.

It is an arithmetic number, because the mean of its divisors is an integer number (1077473492340).

Almost surely, 2^{10005111000105} is an apocalyptic number.

10005111000105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10005111000105 is a deficient number, since it is larger than the sum of its proper divisors (7234464877335).

10005111000105 is a wasteful number, since it uses less digits than its factorization.

10005111000105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51308261560.

The product of its (nonzero) digits is 25, while the sum is 15.

Adding to 10005111000105 its reverse (50100011150001), we get a palindrome (60105122150106).

The spelling of 10005111000105 in words is "ten trillion, five billion, one hundred eleven million, one hundred five", and thus it is an aban number.