105001000105 has 8 divisors (see below), whose sum is σ = 126004129992. Its totient is φ = 83998846848.

The previous prime is 105001000099. The next prime is 105001000121. The reversal of 105001000105 is 501000100501.

It can be written as a sum of positive squares in 4 ways, for example, as 25302628624 + 79698371481 = 159068^2 + 282309^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105001000105 - 2⁵ = 105001000073 is a prime.

It is a super-2 number, since 2×105001000105² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17959 + ... + 458611.

It is an arithmetic number, because the mean of its divisors is an integer number (15750516249).

Almost surely, 2^105001000105 is an apocalyptic number.

It is an amenable number.

105001000105 is a deficient number, since it is larger than the sum of its proper divisors (21003129887).

105001000105 is an equidigital number, since it uses as much as digits as its factorization.

105001000105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488315.

The product of its (nonzero) digits is 25, while the sum is 13.

Adding to 105001000105 its reverse (501000100501), we get a palindrome (606001100606).

The spelling of 105001000105 in words is "one hundred five billion, one million, one hundred five", and thus it is an aban number.