112405000 has 40 divisors (see below), whose sum is σ = 263376630. Its totient is φ = 44960000.

The previous prime is 112404989. The next prime is 112405009. The reversal of 112405000 is 504211.

It can be written as a sum of positive squares in 5 ways, for example, as 3786916 + 108618084 = 1946^2 + 10422^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (112405009) 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 9 ways as a sum of consecutive naturals, for example, 6241 + ... + 16240.

Almost surely, 2^112405000 is an apocalyptic number.

112405000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112405000 is an abundant number, since it is smaller than the sum of its proper divisors (150971630).

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

112405000 is an equidigital number, since it uses as much as digits as its factorization.

112405000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22507 (or 22488 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 112405000 is about 10602.1224290234. The cubic root of 112405000 is about 482.6087703450.

Adding to 112405000 its reverse (504211), we get a palindrome (112909211).

The spelling of 112405000 in words is "one hundred twelve million, four hundred five thousand".