111032401104 has 400 divisors, whose sum is σ = 352302982416. Its totient is φ = 33619968000.

The previous prime is 111032401097. The next prime is 111032401127. The reversal of 111032401104 is 401104230111.

It can be written as a sum of positive squares in 8 ways, for example, as 622402704 + 110409998400 = 24948^2 + 332280^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 91233904 + ... + 91235120.

Almost surely, 2^111032401104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111032401104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176151491208).

111032401104 is an abundant number, since it is smaller than the sum of its proper divisors (241270581312).

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

111032401104 is a wasteful number, since it uses less digits than its factorization.

111032401104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 111032401104 its reverse (401104230111), we get a palindrome (512136631215).

The spelling of 111032401104 in words is "one hundred eleven billion, thirty-two million, four hundred one thousand, one hundred four".