105557166 has 96 divisors (see below), whose sum is σ = 280530432. Its totient is φ = 28226880.

The previous prime is 105557119. The next prime is 105557167. The reversal of 105557166 is 661755501.

It is a super-2 number, since 2×105557166² = 22284630587903112, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105557166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105557167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58311 + ... + 60093.

It is an arithmetic number, because the mean of its divisors is an integer number (2922192).

Almost surely, 2^105557166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105557166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140265216).

105557166 is an abundant number, since it is smaller than the sum of its proper divisors (174973266).

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

105557166 is a wasteful number, since it uses less digits than its factorization.

105557166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 105557166 is about 10274.1017125586. The cubic root of 105557166 is about 472.6023831214.

The spelling of 105557166 in words is "one hundred five million, five hundred fifty-seven thousand, one hundred sixty-six".