105008973 has 8 divisors (see below), whose sum is σ = 140232288. Its totient is φ = 69895824.

The previous prime is 105008963. The next prime is 105008989. The reversal of 105008973 is 379800501.

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

It is not a de Polignac number, because 105008973 - 2⁴ = 105008957 is a prime.

It is a super-2 number, since 2×105008973² = 22053768821029458, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105008963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25290 + ... + 29147.

It is an arithmetic number, because the mean of its divisors is an integer number (17529036).

Almost surely, 2^105008973 is an apocalyptic number.

It is an amenable number.

105008973 is a deficient number, since it is larger than the sum of its proper divisors (35223315).

105008973 is an equidigital number, since it uses as much as digits as its factorization.

105008973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55083.

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 105008973 is about 10247.3885941736. The cubic root of 105008973 is about 471.7828363371.

The spelling of 105008973 in words is "one hundred five million, eight thousand, nine hundred seventy-three".