104738536080 has 160 divisors (see below), whose sum is σ = 362343177600. Its totient is φ = 27808178688.

The previous prime is 104738536057. The next prime is 104738536093. The reversal of 104738536080 is 80635837401.

104738536080 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 38 + 5 + 3 + 608 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388767 + ... + 600513.

It is an arithmetic number, because the mean of its divisors is an integer number (2264644860).

Almost surely, 2^104738536080 is an apocalyptic number.

104738536080 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 104738536080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181171588800).

104738536080 is an abundant number, since it is smaller than the sum of its proper divisors (257604641520).

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

104738536080 is a wasteful number, since it uses less digits than its factorization.

104738536080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211998 (or 211986 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 104738536080 in words is "one hundred four billion, seven hundred thirty-eight million, five hundred thirty-six thousand, eighty".