105055009 has 8 divisors (see below), whose sum is σ = 111918240. Its totient is φ = 98325216.

The previous prime is 105054979. The next prime is 105055021. The reversal of 105055009 is 900550501.

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 105055009 - 2⁷ = 105054881 is a prime.

It is a super-2 number, since 2×105055009² = 22073109831980162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105055109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31732 + ... + 34885.

It is an arithmetic number, because the mean of its divisors is an integer number (13989780).

Almost surely, 2^105055009 is an apocalyptic number.

105055009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

105055009 is a deficient number, since it is larger than the sum of its proper divisors (6863231).

105055009 is an equidigital number, since it uses as much as digits as its factorization.

105055009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66719.

The product of its (nonzero) digits is 1125, while the sum is 25.

The square root of 105055009 is about 10249.6345788521. The cubic root of 105055009 is about 471.8517695623.

The spelling of 105055009 in words is "one hundred five million, fifty-five thousand, nine".