104044953681 has 40 divisors (see below), whose sum is σ = 165403636200. Its totient is φ = 64951552512.

The previous prime is 104044953673. The next prime is 104044953689. The reversal of 104044953681 is 186359440401.

104044953681 is a `hidden beast` number, since 10 + 40 + 4 + 495 + 36 + 81 = 666.

It is an interprime number because it is at equal distance from previous prime (104044953673) and next prime (104044953689).

It can be written as a sum of positive squares in 4 ways, for example, as 81006267456 + 23038686225 = 284616^2 + 151785^2 .

It is not a de Polignac number, because 104044953681 - 2³ = 104044953673 is a prime.

It is a super-2 number, since 2×104044953681² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104044953689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79495 + ... + 463043.

It is an arithmetic number, because the mean of its divisors is an integer number (4135090905).

Almost surely, 2^104044953681 is an apocalyptic number.

It is an amenable number.

104044953681 is a deficient number, since it is larger than the sum of its proper divisors (61358682519).

104044953681 is a wasteful number, since it uses less digits than its factorization.

104044953681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383775 (or 383766 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

It can be divided in two parts, 1040449536 and 81, that multiplied together give a square (84276412416 = 290304²).

The spelling of 104044953681 in words is "one hundred four billion, forty-four million, nine hundred fifty-three thousand, six hundred eighty-one".