104694316128 has 192 divisors, whose sum is σ = 334471032000. Its totient is φ = 31712550912.

The previous prime is 104694316073. The next prime is 104694316151. The reversal of 104694316128 is 821613496401.

104694316128 is a `hidden beast` number, since 1 + 0 + 469 + 4 + 3 + 161 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303058 + ... + 548846.

It is an arithmetic number, because the mean of its divisors is an integer number (1742036625).

Almost surely, 2^104694316128 is an apocalyptic number.

104694316128 is a gapful number since it is divisible by the number (18) 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 104694316128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167235516000).

104694316128 is an abundant number, since it is smaller than the sum of its proper divisors (229776715872).

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

104694316128 is a wasteful number, since it uses less digits than its factorization.

104694316128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245854 (or 245840 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 104694316128 in words is "one hundred four billion, six hundred ninety-four million, three hundred sixteen thousand, one hundred twenty-eight".