105106100009 has 4 divisors (see below), whose sum is σ = 105569122704. Its totient is φ = 104643077316.

The previous prime is 105106099999. The next prime is 105106100041. The reversal of 105106100009 is 900001601501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 105106100009 - 2⁴ = 105106099993 is a prime.

It is a super-2 number, since 2×105106100009² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105106100509) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 231511007 + ... + 231511460.

It is an arithmetic number, because the mean of its divisors is an integer number (26392280676).

Almost surely, 2^105106100009 is an apocalyptic number.

It is an amenable number.

105106100009 is a deficient number, since it is larger than the sum of its proper divisors (463022695).

105106100009 is an equidigital number, since it uses as much as digits as its factorization.

105106100009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463022694.

The product of its (nonzero) digits is 270, while the sum is 23.

The spelling of 105106100009 in words is "one hundred five billion, one hundred six million, one hundred thousand, nine".