111345680 has 60 divisors (see below), whose sum is σ = 263586180. Its totient is φ = 43739136.

The previous prime is 111345673. The next prime is 111345683. The reversal of 111345680 is 86543111.

It can be written as a sum of positive squares in 6 ways, for example, as 37797904 + 73547776 = 6148^2 + 8576^2 .

It is not an unprimeable number, because it can be changed into a prime (111345683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 985304 + ... + 985416.

It is an arithmetic number, because the mean of its divisors is an integer number (4393103).

Almost surely, 2^111345680 is an apocalyptic number.

111345680 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 111345680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131793090).

111345680 is an abundant number, since it is smaller than the sum of its proper divisors (152240500).

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

111345680 is a wasteful number, since it uses less digits than its factorization.

111345680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 111345680 is about 10552.0462470556. The cubic root of 111345680 is about 481.0879258584.

Adding to 111345680 its reverse (86543111), we get a palindrome (197888791).

The spelling of 111345680 in words is "one hundred eleven million, three hundred forty-five thousand, six hundred eighty".