112406319 has 16 divisors (see below), whose sum is σ = 168537600. Its totient is φ = 74033208.

The previous prime is 112406311. The next prime is 112406339. The reversal of 112406319 is 913604211.

112406319 is a `hidden beast` number, since 1 + 1 + 24 + 0 + 631 + 9 = 666.

It is not a de Polignac number, because 112406319 - 2³ = 112406311 is a prime.

It is a super-2 number, since 2×112406319² = 25270361102259522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 112406292 and 112406301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112406311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22839 + ... + 27320.

It is an arithmetic number, because the mean of its divisors is an integer number (10533600).

Almost surely, 2^112406319 is an apocalyptic number.

112406319 is a deficient number, since it is larger than the sum of its proper divisors (56131281).

112406319 is an equidigital number, since it uses as much as digits as its factorization.

112406319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50251 (or 50245 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 112406319 is about 10602.1846333668. The cubic root of 112406319 is about 482.6106580382.

The spelling of 112406319 in words is "one hundred twelve million, four hundred six thousand, three hundred nineteen".