104734075531680 has 1152 divisors, whose sum is σ = 429283605703680. Its totient is φ = 22747942748160.

The previous prime is 104734075531661. The next prime is 104734075531693. The reversal of 104734075531680 is 86135570437401.

104734075531680 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 3 + 4 + 0 + 7 + 553 + 1 + 6 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5132252037 + ... + 5132272443.

It is an arithmetic number, because the mean of its divisors is an integer number (372642018840).

Almost surely, 2^{104734075531680} is an apocalyptic number.

104734075531680 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 104734075531680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214641802851840).

104734075531680 is an abundant number, since it is smaller than the sum of its proper divisors (324549530172000).

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

104734075531680 is a wasteful number, since it uses less digits than its factorization.

104734075531680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20742 (or 20731 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 104734075531680 in words is "one hundred four trillion, seven hundred thirty-four billion, seventy-five million, five hundred thirty-one thousand, six hundred eighty".