112066160 has 40 divisors (see below), whose sum is σ = 262307616. Its totient is φ = 44524800.

The previous prime is 112066139. The next prime is 112066181. The reversal of 112066160 is 61660211.

It is an interprime number because it is at equal distance from previous prime (112066139) and next prime (112066181).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7442 + ... + 16718.

Almost surely, 2^112066160 is an apocalyptic number.

112066160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112066160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131153808).

112066160 is an abundant number, since it is smaller than the sum of its proper divisors (150241456).

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

112066160 is a wasteful number, since it uses less digits than its factorization.

112066160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9441 (or 9435 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 112066160 is about 10586.1305489778. The cubic root of 112066160 is about 482.1233478500.

The spelling of 112066160 in words is "one hundred twelve million, sixty-six thousand, one hundred sixty".