112101444 has 144 divisors (see below), whose sum is σ = 367319680. Its totient is φ = 27993600.

The previous prime is 112101433. The next prime is 112101461. The reversal of 112101444 is 444101211.

112101444 is a `hidden beast` number, since 11 + 210 + 1 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 61344 + ... + 63144.

Almost surely, 2^112101444 is an apocalyptic number.

112101444 is a gapful number since it is divisible by the number (14) 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 112101444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183659840).

112101444 is an abundant number, since it is smaller than the sum of its proper divisors (255218236).

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

112101444 is a wasteful number, since it uses less digits than its factorization.

112101444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 112101444 is about 10587.7969379848. The cubic root of 112101444 is about 482.1739413422.

Adding to 112101444 its reverse (444101211), we get a palindrome (556202655).

The spelling of 112101444 in words is "one hundred twelve million, one hundred one thousand, four hundred forty-four".