166113305 has 16 divisors (see below), whose sum is σ = 206787600. Its totient is φ = 127948800.

The previous prime is 166113287. The next prime is 166113319. The reversal of 166113305 is 503311661.

It can be written as a sum of positive squares in 8 ways, for example, as 5938969 + 160174336 = 2437^2 + 12656^2 .

It is not a de Polignac number, because 166113305 - 2¹⁰ = 166112281 is a prime.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 57905 + ... + 60705.

It is an arithmetic number, because the mean of its divisors is an integer number (12924225).

Almost surely, 2^166113305 is an apocalyptic number.

It is an amenable number.

166113305 is a deficient number, since it is larger than the sum of its proper divisors (40674295).

166113305 is a wasteful number, since it uses less digits than its factorization.

166113305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244.

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 166113305 is about 12888.4950634277. The cubic root of 166113305 is about 549.7114795276.

Adding to 166113305 its reverse (503311661), we get a palindrome (669424966).

The spelling of 166113305 in words is "one hundred sixty-six million, one hundred thirteen thousand, three hundred five".