111105450000 has 360 divisors, whose sum is σ = 399215214216. Its totient is φ = 28823040000.

The previous prime is 111105449993. The next prime is 111105450007. The reversal of 111105450000 is 54501111.

It is a happy number.

111105450000 is a `hidden beast` number, since 1 + 1 + 110 + 54 + 500 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (111105449993) and next prime (111105450007).

It can be written as a sum of positive squares in 12 ways, for example, as 110992920336 + 112529664 = 333156^2 + 10608^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (111105450007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16646664 + ... + 16653336.

Almost surely, 2^111105450000 is an apocalyptic number.

111105450000 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 111105450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199607607108).

111105450000 is an abundant number, since it is smaller than the sum of its proper divisors (288109764216).

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

111105450000 is an equidigital number, since it uses as much as digits as its factorization.

111105450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6749 (or 6720 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

Adding to 111105450000 its reverse (54501111), we get a palindrome (111159951111).

The spelling of 111105450000 in words is "one hundred eleven billion, one hundred five million, four hundred fifty thousand".