112010000 has 100 divisors (see below), whose sum is σ = 283559232. Its totient is φ = 42768000.

The previous prime is 112009987. The next prime is 112010009. The reversal of 112010000 is 10211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112010009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 229757 + ... + 230243.

Almost surely, 2^112010000 is an apocalyptic number.

112010000 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 112010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141779616).

112010000 is an abundant number, since it is smaller than the sum of its proper divisors (171549232).

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

112010000 is an equidigital number, since it uses as much as digits as its factorization.

112010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 112010000 is about 10583.4776893042. The cubic root of 112010000 is about 482.0427984930.

Adding to 112010000 its reverse (10211), we get a palindrome (112020211).

The spelling of 112010000 in words is "one hundred twelve million, ten thousand".