110434102416 has 120 divisors (see below), whose sum is σ = 337573304640. Its totient is φ = 33423724800.

The previous prime is 110434102409. The next prime is 110434102451. The reversal of 110434102416 is 614201434011.

110434102416 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 3 + 410 + 241 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 110434102416.

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, 1258005 + ... + 1342923.

It is an arithmetic number, because the mean of its divisors is an integer number (2813110872).

Almost surely, 2^110434102416 is an apocalyptic number.

110434102416 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 110434102416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168786652320).

110434102416 is an abundant number, since it is smaller than the sum of its proper divisors (227139202224).

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

110434102416 is a wasteful number, since it uses less digits than its factorization.

110434102416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85765 (or 85756 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 110434102416 its reverse (614201434011), we get a palindrome (724635536427).

The spelling of 110434102416 in words is "one hundred ten billion, four hundred thirty-four million, one hundred two thousand, four hundred sixteen".