104136779696049 has 81 divisors (see below), whose sum is σ = 162066494750979. Its totient is φ = 64422134369280.

The previous prime is 104136779696017. The next prime is 104136779696063. The reversal of 104136779696049 is 940696977631401.

The square root of 104136779696049 is 10204743.

It is a perfect power (a square), and thus also a powerful number.

104136779696049 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 3 + 6 + 7 + 7 + 9 + 6 + 9 + 604 + 9 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 36377870399649 + 67758909296400 = 6031407^2 + 8231580^2 .

It is not a de Polignac number, because 104136779696049 - 2⁵ = 104136779696017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104136779696099) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 37992256819 + ... + 37992259559.

Almost surely, 2^{104136779696049} is an apocalyptic number.

104136779696049 is the 10204743-rd square number.

104136779696049 is the 5102372-nd centered octagonal number.

It is an amenable number.

104136779696049 is a deficient number, since it is larger than the sum of its proper divisors (57929715054930).

104136779696049 is an frugal number, since it uses more digits than its factorization.

104136779696049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5668 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 370355328, while the sum is 72.

The spelling of 104136779696049 in words is "one hundred four trillion, one hundred thirty-six billion, seven hundred seventy-nine million, six hundred ninety-six thousand, forty-nine".