112665330 has 80 divisors (see below), whose sum is σ = 304571520. Its totient is φ = 29883168.

The previous prime is 112665323. The next prime is 112665337. The reversal of 112665330 is 33566211.

112665330 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 653 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (112665323) and next prime (112665337).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 112665294 and 112665303.

It is not an unprimeable number, because it can be changed into a prime (112665337) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 297081 + ... + 297459.

It is an arithmetic number, because the mean of its divisors is an integer number (3807144).

Almost surely, 2^112665330 is an apocalyptic number.

112665330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112665330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152285760).

112665330 is an abundant number, since it is smaller than the sum of its proper divisors (191906190).

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

112665330 is a wasteful number, since it uses less digits than its factorization.

112665330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 112665330 is about 10614.3925874258. The cubic root of 112665330 is about 482.9810570866.

The spelling of 112665330 in words is "one hundred twelve million, six hundred sixty-five thousand, three hundred thirty".