105124973 has 8 divisors (see below), whose sum is σ = 109814400. Its totient is φ = 100445488.

The previous prime is 105124951. The next prime is 105124979. The reversal of 105124973 is 379421501.

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 105124973 - 2⁶ = 105124909 is a prime.

It is a super-2 number, since 2×105124973² = 22102519896501458, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105124979) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26408 + ... + 30126.

It is an arithmetic number, because the mean of its divisors is an integer number (13726800).

Almost surely, 2^105124973 is an apocalyptic number.

It is an amenable number.

105124973 is a deficient number, since it is larger than the sum of its proper divisors (4689427).

105124973 is a wasteful number, since it uses less digits than its factorization.

105124973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4971.

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 105124973 is about 10253.0470105233. The cubic root of 105124973 is about 471.9564934643.

The spelling of 105124973 in words is "one hundred five million, one hundred twenty-four thousand, nine hundred seventy-three".