105055005 has 16 divisors (see below), whose sum is σ = 183369024. Its totient is φ = 50935680.

The previous prime is 105054979. The next prime is 105055021. The reversal of 105055005 is 500550501.

It is not a de Polignac number, because 105055005 - 2⁵ = 105054973 is a prime.

It is a super-2 number, since 2×105055005² = 22073108151100050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318184 + ... + 318513.

It is an arithmetic number, because the mean of its divisors is an integer number (11460564).

Almost surely, 2^105055005 is an apocalyptic number.

105055005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105055005 is a deficient number, since it is larger than the sum of its proper divisors (78314019).

105055005 is a wasteful number, since it uses less digits than its factorization.

105055005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636716.

The product of its (nonzero) digits is 625, while the sum is 21.

The square root of 105055005 is about 10249.6343837232. The cubic root of 105055005 is about 471.8517635737.

It can be divided in two parts, 10505 and 5005, that multiplied together give a palindrome (52577525).

The spelling of 105055005 in words is "one hundred five million, fifty-five thousand, five".