105166257 has 32 divisors (see below), whose sum is σ = 166060800. Its totient is φ = 57957120.

The previous prime is 105166253. The next prime is 105166289. The reversal of 105166257 is 752661501.

It is not a de Polignac number, because 105166257 - 2² = 105166253 is a prime.

It is a super-2 number, since 2×105166257² = 22119883222780098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105166253) 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 31 ways as a sum of consecutive naturals, for example, 67119 + ... + 68667.

It is an arithmetic number, because the mean of its divisors is an integer number (5189400).

Almost surely, 2^105166257 is an apocalyptic number.

It is an amenable number.

105166257 is a deficient number, since it is larger than the sum of its proper divisors (60894543).

105166257 is a wasteful number, since it uses less digits than its factorization.

105166257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673.

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 105166257 is about 10255.0600680835. The cubic root of 105166257 is about 472.0182666133.

The spelling of 105166257 in words is "one hundred five million, one hundred sixty-six thousand, two hundred fifty-seven".