104691775104 has 512 divisors, whose sum is σ = 378527385600. Its totient is φ = 27804155904.

The previous prime is 104691775081. The next prime is 104691775157. The reversal of 104691775104 is 401577196401.

104691775104 is a `hidden beast` number, since 1 + 0 + 4 + 69 + 1 + 77 + 510 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 104691775104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34133379 + ... + 34136445.

It is an arithmetic number, because the mean of its divisors is an integer number (739311300).

Almost surely, 2^104691775104 is an apocalyptic number.

104691775104 is a gapful number since it is divisible by the number (14) 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 104691775104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189263692800).

104691775104 is an abundant number, since it is smaller than the sum of its proper divisors (273835610496).

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

104691775104 is a wasteful number, since it uses less digits than its factorization.

104691775104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3197 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 104691775104 in words is "one hundred four billion, six hundred ninety-one million, seven hundred seventy-five thousand, one hundred four".