105051166 has 32 divisors (see below), whose sum is σ = 185587200. Its totient is φ = 44093280.

The previous prime is 105051151. The next prime is 105051169. The reversal of 105051166 is 661150501.

It is a super-2 number, since 2×105051166² = 22071494955919112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105051166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105051169) 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 15 ways as a sum of consecutive naturals, for example, 11095 + ... + 18253.

It is an arithmetic number, because the mean of its divisors is an integer number (5799600).

Almost surely, 2^105051166 is an apocalyptic number.

105051166 is a deficient number, since it is larger than the sum of its proper divisors (80536034).

105051166 is a wasteful number, since it uses less digits than its factorization.

105051166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7224.

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 105051166 is about 10249.4471070395. The cubic root of 105051166 is about 471.8460159149.

The spelling of 105051166 in words is "one hundred five million, fifty-one thousand, one hundred sixty-six".