112709016 has 192 divisors, whose sum is σ = 380851200. Its totient is φ = 30735936.

The previous prime is 112709011. The next prime is 112709059. The reversal of 112709016 is 610907211.

112709016 = 238³ + 239³ + ... + 245³.

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 (112709011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243201 + ... + 243663.

It is an arithmetic number, because the mean of its divisors is an integer number (1983600).

Almost surely, 2^112709016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112709016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190425600).

112709016 is an abundant number, since it is smaller than the sum of its proper divisors (268142184).

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

112709016 is a wasteful number, since it uses less digits than its factorization.

112709016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 112709016 is about 10616.4502542046. The cubic root of 112709016 is about 483.0434743477.

The spelling of 112709016 in words is "one hundred twelve million, seven hundred nine thousand, sixteen".