112000 has 64 divisors (see below), whose sum is σ = 318240. Its totient is φ = 38400.

The previous prime is 111997. The next prime is 112019. The reversal of 112000 is 211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15997 + ... + 16003.

2^{112000} is an apocalyptic number.

112000 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 112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159120).

112000 is an abundant number, since it is smaller than the sum of its proper divisors (206240).

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

112000 is an frugal number, since it uses more digits than its factorization.

112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 112000 is about 334.6640106136. The cubic root of 112000 is about 48.2028452835.

Adding to 112000 its reverse (211), we get a palindrome (112211).

The spelling of 112000 in words is "one hundred twelve thousand", and thus it is an iban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 640 700 800 875 896 1000 1120 1400 1600 1750 2000 2240 2800 3200 3500 4000 4480 5600 7000 8000 11200 14000 16000 22400 28000 56000 112000

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