105100617009 has 4 divisors (see below), whose sum is σ = 140134156016. Its totient is φ = 70067078004.

The previous prime is 105100616993. The next prime is 105100617019. The reversal of 105100617009 is 900716001501.

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, and also an emirpimes, since its reverse is a distinct semiprime: 900716001501 = 3 ⋅300238667167.

It is not a de Polignac number, because 105100617009 - 2⁴ = 105100616993 is a prime.

It is a super-2 number, since 2×105100617009² (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 (105100617019) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 17516769499 + ... + 17516769504.

It is an arithmetic number, because the mean of its divisors is an integer number (35033539004).

Almost surely, 2^105100617009 is an apocalyptic number.

It is an amenable number.

105100617009 is a deficient number, since it is larger than the sum of its proper divisors (35033539007).

105100617009 is an equidigital number, since it uses as much as digits as its factorization.

105100617009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35033539006.

The product of its (nonzero) digits is 1890, while the sum is 30.

The spelling of 105100617009 in words is "one hundred five billion, one hundred million, six hundred seventeen thousand, nine".