104005653705 has 24 divisors (see below), whose sum is σ = 180284349960. Its totient is φ = 55467256320.

The previous prime is 104005653677. The next prime is 104005653709. The reversal of 104005653705 is 507356500401.

It can be written as a sum of positive squares in 4 ways, for example, as 12688670736 + 91316982969 = 112644^2 + 302187^2 .

It is not a de Polignac number, because 104005653705 - 2⁶ = 104005653641 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 104005653705.

It is not an unprimeable number, because it can be changed into a prime (104005653709) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1540191 + ... + 1606299.

It is an arithmetic number, because the mean of its divisors is an integer number (7511847915).

Almost surely, 2^104005653705 is an apocalyptic number.

104005653705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104005653705 is a deficient number, since it is larger than the sum of its proper divisors (76278696255).

104005653705 is a wasteful number, since it uses less digits than its factorization.

104005653705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101081 (or 101078 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 104005653705 in words is "one hundred four billion, five million, six hundred fifty-three thousand, seven hundred five".