105327166 has 48 divisors (see below), whose sum is σ = 194431104. Its totient is φ = 42581616.

The previous prime is 105327133. The next prime is 105327169. The reversal of 105327166 is 661723501.

It is a super-2 number, since 2×105327166² = 22187623795183112, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105327169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186801 + ... + 187363.

It is an arithmetic number, because the mean of its divisors is an integer number (4050648).

Almost surely, 2^105327166 is an apocalyptic number.

105327166 is a deficient number, since it is larger than the sum of its proper divisors (89103938).

105327166 is a wasteful number, since it uses less digits than its factorization.

105327166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 105327166 is about 10262.9024159835. The cubic root of 105327166 is about 472.2588801766.

The spelling of 105327166 in words is "one hundred five million, three hundred twenty-seven thousand, one hundred sixty-six".