66873105 has 48 divisors (see below), whose sum is σ = 126497280. Its totient is φ = 32482944.

The previous prime is 66873073. The next prime is 66873113. The reversal of 66873105 is 50137866.

It is not a de Polignac number, because 66873105 - 2⁵ = 66873073 is a prime.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 66873105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45492 + ... + 46938.

It is an arithmetic number, because the mean of its divisors is an integer number (2635360).

Almost surely, 2^66873105 is an apocalyptic number.

66873105 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66873105 is a deficient number, since it is larger than the sum of its proper divisors (59624175).

66873105 is a wasteful number, since it uses less digits than its factorization.

66873105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 66873105 is about 8177.5977523965. The cubic root of 66873105 is about 405.8982349877.

The spelling of 66873105 in words is "sixty-six million, eight hundred seventy-three thousand, one hundred five".