110121768 has 96 divisors (see below), whose sum is σ = 317859360. Its totient is φ = 35691840.

The previous prime is 110121761. The next prime is 110121773. The reversal of 110121768 is 867121011.

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

It is not an unprimeable number, because it can be changed into a prime (110121761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71163 + ... + 72693.

It is an arithmetic number, because the mean of its divisors is an integer number (3311035).

Almost surely, 2^110121768 is an apocalyptic number.

110121768 is a gapful number since it is divisible by the number (18) 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 110121768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158929680).

110121768 is an abundant number, since it is smaller than the sum of its proper divisors (207737592).

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

110121768 is a wasteful number, since it uses less digits than its factorization.

110121768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 110121768 is about 10493.8919376940. The cubic root of 110121768 is about 479.3187209969.

Adding to 110121768 its reverse (867121011), we get a palindrome (977242779).

It can be divided in two parts, 110121 and 768, that added together give a square (110889 = 333²).

The spelling of 110121768 in words is "one hundred ten million, one hundred twenty-one thousand, seven hundred sixty-eight".