112093920 has 288 divisors, whose sum is σ = 428107680. Its totient is φ = 26542080.

The previous prime is 112093913. The next prime is 112093921. The reversal of 112093920 is 29390211.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112093921) 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, 465000 + ... + 465240.

It is an arithmetic number, because the mean of its divisors is an integer number (1486485).

Almost surely, 2^112093920 is an apocalyptic number.

112093920 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 112093920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214053840).

112093920 is an abundant number, since it is smaller than the sum of its proper divisors (316013760).

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

112093920 is a wasteful number, since it uses less digits than its factorization.

112093920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 112093920 is about 10587.4416173125. The cubic root of 112093920 is about 482.1631536194.

It can be divided in two parts, 11209 and 3920, that added together give a square (15129 = 123²).

The spelling of 112093920 in words is "one hundred twelve million, ninety-three thousand, nine hundred twenty".