110104034880 has 336 divisors, whose sum is σ = 415315213056. Its totient is φ = 24630681600.

The previous prime is 110104034839. The next prime is 110104034921. The reversal of 110104034880 is 88430401011.

It is an interprime number because it is at equal distance from previous prime (110104034839) and next prime (110104034921).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×110104034880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 2185980 + ... + 2235780.

Almost surely, 2^110104034880 is an apocalyptic number.

110104034880 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 110104034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207657606528).

110104034880 is an abundant number, since it is smaller than the sum of its proper divisors (305211178176).

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

110104034880 is a wasteful number, since it uses less digits than its factorization.

110104034880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49882 (or 49865 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

Adding to 110104034880 its reverse (88430401011), we get a palindrome (198534435891).

The spelling of 110104034880 in words is "one hundred ten billion, one hundred four million, thirty-four thousand, eight hundred eighty".