111385300820 has 72 divisors (see below), whose sum is σ = 242101828584. Its totient is φ = 43044864000.

The previous prime is 111385300813. The next prime is 111385300877. The reversal of 111385300820 is 28003583111.

It can be written as a sum of positive squares in 4 ways, for example, as 69040715536 + 42344585284 = 262756^2 + 205778^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12315500 + ... + 12324540.

It is an arithmetic number, because the mean of its divisors is an integer number (3362525397).

Almost surely, 2^111385300820 is an apocalyptic number.

111385300820 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 111385300820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121050914292).

111385300820 is an abundant number, since it is smaller than the sum of its proper divisors (130716527764).

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

111385300820 is a wasteful number, since it uses less digits than its factorization.

111385300820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9753 (or 9720 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

Adding to 111385300820 its reverse (28003583111), we get a palindrome (139388883931).

The spelling of 111385300820 in words is "one hundred eleven billion, three hundred eighty-five million, three hundred thousand, eight hundred twenty".