110634045102 has 256 divisors, whose sum is σ = 313679278080. Its totient is φ = 28159819776.

The previous prime is 110634045097. The next prime is 110634045127. The reversal of 110634045102 is 201540436011.

It is a happy number.

110634045102 is a `hidden beast` number, since 1 + 10 + 634 + 0 + 4 + 5 + 10 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 14332548 + ... + 14340264.

It is an arithmetic number, because the mean of its divisors is an integer number (1225309680).

Almost surely, 2^110634045102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110634045102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156839639040).

110634045102 is an abundant number, since it is smaller than the sum of its proper divisors (203045232978).

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

110634045102 is a wasteful number, since it uses less digits than its factorization.

110634045102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7872 (or 7866 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 110634045102 in words is "one hundred ten billion, six hundred thirty-four million, forty-five thousand, one hundred two".