104173655040 has 1408 divisors, whose sum is σ = 467698560000. Its totient is φ = 21979496448.

The previous prime is 104173655023. The next prime is 104173655081. The reversal of 104173655040 is 40556371401.

104173655040 is a `hidden beast` number, since 104 + 17 + 36 + 5 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104173654986 and 104173655004.

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 127 ways as a sum of consecutive naturals, for example, 8013358074 + ... + 8013358086.

Almost surely, 2^104173655040 is an apocalyptic number.

104173655040 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 104173655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233849280000).

104173655040 is an abundant number, since it is smaller than the sum of its proper divisors (363524904960).

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

104173655040 is an frugal number, since it uses more digits than its factorization.

104173655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 104173655040 in words is "one hundred four billion, one hundred seventy-three million, six hundred fifty-five thousand, forty".