112006368 has 96 divisors (see below), whose sum is σ = 343929600. Its totient is φ = 35365248.

The previous prime is 112006361. The next prime is 112006369. The reversal of 112006368 is 863600211.

112006368 is a `hidden beast` number, since 1 + 1 + 20 + 0 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112006361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13005 + ... + 19827.

It is an arithmetic number, because the mean of its divisors is an integer number (3582600).

Almost surely, 2^112006368 is an apocalyptic number.

112006368 is a gapful number since it is divisible by the number (18) 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 112006368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171964800).

112006368 is an abundant number, since it is smaller than the sum of its proper divisors (231923232).

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

112006368 is a wasteful number, since it uses less digits than its factorization.

112006368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6861 (or 6847 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 112006368 is about 10583.3060997025. The cubic root of 112006368 is about 482.0375882488.

Adding to 112006368 its reverse (863600211), we get a palindrome (975606579).

The spelling of 112006368 in words is "one hundred twelve million, six thousand, three hundred sixty-eight".