111026016 has 72 divisors (see below), whose sum is σ = 317247840. Its totient is φ = 36830976.

The previous prime is 111025951. The next prime is 111026017. The reversal of 111026016 is 610620111.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 111026016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111026017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68026 + ... + 69638.

It is an arithmetic number, because the mean of its divisors is an integer number (4406220).

Almost surely, 2^111026016 is an apocalyptic number.

111026016 is a gapful number since it is divisible by the number (16) 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 111026016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158623920).

111026016 is an abundant number, since it is smaller than the sum of its proper divisors (206221824).

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

111026016 is a wasteful number, since it uses less digits than its factorization.

111026016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 111026016 is about 10536.8883452374. Note that the first 3 decimals coincide. The cubic root of 111026016 is about 480.6270970376.

Adding to 111026016 its reverse (610620111), we get a palindrome (721646127).

The spelling of 111026016 in words is "one hundred eleven million, twenty-six thousand, sixteen".