110166016 has 51 divisors (see below), whose sum is σ = 225835333. Its totient is φ = 53739520.

The previous prime is 110166013. The next prime is 110166031. The reversal of 110166016 is 610661011.

The square root of 110166016 is 10496.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5308416 + 104857600 = 2304^2 + 10240^2 .

It is a Duffinian number.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (110166011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2686956 + ... + 2686996.

Almost surely, 2^110166016 is an apocalyptic number.

110166016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

110166016 is the 10496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110166016

110166016 is an abundant number, since it is smaller than the sum of its proper divisors (115669317).

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

110166016 is an frugal number, since it uses more digits than its factorization.

110166016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 43 counting only the distinct ones).

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

The cubic root of 110166016 is about 479.3829107120.

The spelling of 110166016 in words is "one hundred ten million, one hundred sixty-six thousand, sixteen".