111540104000 has 224 divisors, whose sum is σ = 299072600736. Its totient is φ = 40963276800.

The previous prime is 111540103973. The next prime is 111540104009. The reversal of 111540104000 is 401045111.

It can be written as a sum of positive squares in 16 ways, for example, as 84620482816 + 26919621184 = 290896^2 + 164072^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 111540104000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111540104009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20069222 + ... + 20074778.

It is an arithmetic number, because the mean of its divisors is an integer number (1335145539).

Almost surely, 2^111540104000 is an apocalyptic number.

111540104000 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 111540104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149536300368).

111540104000 is an abundant number, since it is smaller than the sum of its proper divisors (187532496736).

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

111540104000 is a wasteful number, since it uses less digits than its factorization.

111540104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5790 (or 5770 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 111540104000 its reverse (401045111), we get a palindrome (111941149111).

The spelling of 111540104000 in words is "one hundred eleven billion, five hundred forty million, one hundred four thousand".