110104005600 has 216 divisors, whose sum is σ = 390829329072. Its totient is φ = 29166336000.

The previous prime is 110104005541. The next prime is 110104005619. The reversal of 110104005600 is 6500401011.

110104005600 is a `hidden beast` number, since 1 + 1 + 0 + 104 + 0 + 0 + 560 + 0 = 666.

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

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1036564 + ... + 1137836.

It is an arithmetic number, because the mean of its divisors is an integer number (1809395042).

Almost surely, 2^110104005600 is an apocalyptic number.

110104005600 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 110104005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195414664536).

110104005600 is an abundant number, since it is smaller than the sum of its proper divisors (280725323472).

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

110104005600 is a wasteful number, since it uses less digits than its factorization.

110104005600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101450 (or 101434 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 110104005600 its reverse (6500401011), we get a palindrome (116604406611).

The spelling of 110104005600 in words is "one hundred ten billion, one hundred four million, five thousand, six hundred".