105467166 has 48 divisors (see below), whose sum is σ = 262570464. Its totient is φ = 29970432.

The previous prime is 105467149. The next prime is 105467189. The reversal of 105467166 is 661764501.

It is a super-2 number, since 2×105467166² = 22246646208143112, 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 105467166.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 22150 + ... + 26486.

It is an arithmetic number, because the mean of its divisors is an integer number (5470218).

Almost surely, 2^105467166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105467166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131285232).

105467166 is an abundant number, since it is smaller than the sum of its proper divisors (157103298).

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

105467166 is a wasteful number, since it uses less digits than its factorization.

105467166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4545 (or 4542 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 105467166 is about 10269.7208335962. The cubic root of 105467166 is about 472.4680284070.

The spelling of 105467166 in words is "one hundred five million, four hundred sixty-seven thousand, one hundred sixty-six".