110242120 has 64 divisors (see below), whose sum is σ = 255150000. Its totient is φ = 42851328.

The previous prime is 110242117. The next prime is 110242141. The reversal of 110242120 is 21242011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 49308484 + 60933636 = 7022^2 + 7806^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 110242120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315706 + ... + 316054.

Almost surely, 2^110242120 is an apocalyptic number.

110242120 is a gapful number since it is divisible by the number (10) 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 110242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127575000).

110242120 is an abundant number, since it is smaller than the sum of its proper divisors (144907880).

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

110242120 is a wasteful number, since it uses less digits than its factorization.

110242120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 110242120 is about 10499.6247551996. The cubic root of 110242120 is about 479.4932731167.

Adding to 110242120 its reverse (21242011), we get a palindrome (131484131).

The spelling of 110242120 in words is "one hundred ten million, two hundred forty-two thousand, one hundred twenty".