110104384896 has 192 divisors, whose sum is σ = 345879939600. Its totient is φ = 33341829120.

The previous prime is 110104384829. The next prime is 110104384921. The reversal of 110104384896 is 698483401011.

110104384896 is a `hidden beast` number, since 110 + 10 + 43 + 8 + 489 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30271590 + ... + 30275226.

Almost surely, 2^110104384896 is an apocalyptic number.

110104384896 is a gapful number since it is divisible by the number (16) 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 110104384896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172939969800).

110104384896 is an abundant number, since it is smaller than the sum of its proper divisors (235775554704).

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

110104384896 is a wasteful number, since it uses less digits than its factorization.

110104384896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6057 (or 6042 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 110104384896 in words is "one hundred ten billion, one hundred four million, three hundred eighty-four thousand, eight hundred ninety-six".