110166160 has 40 divisors (see below), whose sum is σ = 275841720. Its totient is φ = 40676352.

The previous prime is 110166097. The next prime is 110166169. The reversal of 110166160 is 61661011.

It can be written as a sum of positive squares in 4 ways, for example, as 16386304 + 93779856 = 4048^2 + 9684^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (110166169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51925 + ... + 54004.

It is an arithmetic number, because the mean of its divisors is an integer number (6896043).

Almost surely, 2^110166160 is an apocalyptic number.

110166160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110166160 is an abundant number, since it is smaller than the sum of its proper divisors (165675560).

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

110166160 is a wasteful number, since it uses less digits than its factorization.

110166160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105955 (or 105949 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 110166160 is about 10496.0068597539. The cubic root of 110166160 is about 479.3831195820.

The spelling of 110166160 in words is "one hundred ten million, one hundred sixty-six thousand, one hundred sixty".