105323166 has 60 divisors (see below), whose sum is σ = 255618792. Its totient is φ = 32398704.

The previous prime is 105323117. The next prime is 105323171. The reversal of 105323166 is 661323501.

It is a super-2 number, since 2×105323166² = 22185938592527112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 25455 + ... + 29301.

Almost surely, 2^105323166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105323166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127809396).

105323166 is an abundant number, since it is smaller than the sum of its proper divisors (150295626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105323166 is a wasteful number, since it uses less digits than its factorization.

105323166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3887 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 105323166 is about 10262.7075374874. The cubic root of 105323166 is about 472.2529017904.

Adding to 105323166 its reverse (661323501), we get a palindrome (766646667).

The spelling of 105323166 in words is "one hundred five million, three hundred twenty-three thousand, one hundred sixty-six".