111300020 has 96 divisors (see below), whose sum is σ = 269892000. Its totient is φ = 38418432.

The previous prime is 111300017. The next prime is 111300023. The reversal of 111300020 is 20003111.

It is an interprime number because it is at equal distance from previous prime (111300017) and next prime (111300023).

It can be written as a sum of positive squares in 16 ways, for example, as 110923024 + 376996 = 10532^2 + 614^2 .

It is a junction number, because it is equal to n+sod(n) for n = 111299980 and 111300007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111300023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 746906 + ... + 747054.

It is an arithmetic number, because the mean of its divisors is an integer number (2811375).

Almost surely, 2^111300020 is an apocalyptic number.

111300020 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 111300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134946000).

111300020 is an abundant number, since it is smaller than the sum of its proper divisors (158591980).

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

111300020 is a wasteful number, since it uses less digits than its factorization.

111300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 111300020 is about 10549.8824638002. The cubic root of 111300020 is about 481.0221562718.

Adding to 111300020 its reverse (20003111), we get a palindrome (131303131).

It can be divided in two parts, 11 and 1300020, that added together give a palindrome (1300031).

The spelling of 111300020 in words is "one hundred eleven million, three hundred thousand, twenty".