105260166 has 48 divisors (see below), whose sum is σ = 254112768. Its totient is φ = 31215600.

The previous prime is 105260147. The next prime is 105260191. The reversal of 105260166 is 661062501.

It is a happy number.

105260166 is a `hidden beast` number, since 1 + 0 + 52 + 601 + 6 + 6 = 666.

It is a super-2 number, since 2×105260166² = 22159405092695112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3651 + ... + 14961.

It is an arithmetic number, because the mean of its divisors is an integer number (5294016).

Almost surely, 2^105260166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105260166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127056384).

105260166 is an abundant number, since it is smaller than the sum of its proper divisors (148852602).

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

105260166 is a wasteful number, since it uses less digits than its factorization.

105260166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11377 (or 11374 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 105260166 is about 10259.6377129020. The cubic root of 105260166 is about 472.1587222348.

The spelling of 105260166 in words is "one hundred five million, two hundred sixty thousand, one hundred sixty-six".