110116242 has 96 divisors (see below), whose sum is σ = 264648384. Its totient is φ = 32947200.

The previous prime is 110116241. The next prime is 110116261. The reversal of 110116242 is 242611011.

It is a super-3 number, since 3×110116242³ (a number of 25 digits) contains 333 as substring.

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 (110116241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 840517 + ... + 840647.

It is an arithmetic number, because the mean of its divisors is an integer number (2756754).

Almost surely, 2^110116242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110116242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132324192).

110116242 is an abundant number, since it is smaller than the sum of its proper divisors (154532142).

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

110116242 is a wasteful number, since it uses less digits than its factorization.

110116242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 110116242 is about 10493.6286383691. The cubic root of 110116242 is about 479.3107033282.

Adding to 110116242 its reverse (242611011), we get a palindrome (352727253).

The spelling of 110116242 in words is "one hundred ten million, one hundred sixteen thousand, two hundred forty-two".