110114442 has 48 divisors (see below), whose sum is σ = 247606632. Its totient is φ = 35337600.

The previous prime is 110114437. The next prime is 110114447. The reversal of 110114442 is 244411011.

110114442 is a `hidden beast` number, since 110 + 114 + 442 = 666.

It is an interprime number because it is at equal distance from previous prime (110114437) and next prime (110114447).

It can be written as a sum of positive squares in 4 ways, for example, as 106688241 + 3426201 = 10329^2 + 1851^2 .

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

It is not an unprimeable number, because it can be changed into a prime (110114447) 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 23 ways as a sum of consecutive naturals, for example, 66448 + ... + 68084.

Almost surely, 2^110114442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110114442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123803316).

110114442 is an abundant number, since it is smaller than the sum of its proper divisors (137492190).

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

110114442 is a wasteful number, since it uses less digits than its factorization.

110114442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1780 counting only the distinct ones).

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

The square root of 110114442 is about 10493.5428716902. The cubic root of 110114442 is about 479.3080916518.

Adding to 110114442 its reverse (244411011), we get a palindrome (354525453).

The spelling of 110114442 in words is "one hundred ten million, one hundred fourteen thousand, four hundred forty-two".