100001000105 has 4 divisors (see below), whose sum is σ = 120001200132. Its totient is φ = 80000800080.

The previous prime is 100001000083. The next prime is 100001000117. The reversal of 100001000105 is 501000100001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 17170433296 + 82830566809 = 131036^2 + 287803^2 .

It is not a de Polignac number, because 100001000105 - 2⁸ = 100000999849 is a prime.

It is a super-2 number, since 2×100001000105² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100001000092 and 100001000101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10000100006 + ... + 10000100015.

It is an arithmetic number, because the mean of its divisors is an integer number (30000300033).

Almost surely, 2^100001000105 is an apocalyptic number.

It is an amenable number.

100001000105 is a deficient number, since it is larger than the sum of its proper divisors (20000200027).

100001000105 is an equidigital number, since it uses as much as digits as its factorization.

100001000105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20000200026.

The product of its (nonzero) digits is 5, while the sum is 8.

Adding to 100001000105 its reverse (501000100001), we get a palindrome (601001100106).

The spelling of 100001000105 in words is "one hundred billion, one million, one hundred five", and thus it is an aban number.