104034063684681 has 63 divisors (see below), whose sum is σ = 168906952836279. Its totient is φ = 64018759130352.

The previous prime is 104034063684641. The next prime is 104034063684713. The reversal of 104034063684681 is 186486360430401.

The square root of 104034063684681 is 10199709.

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

104034063684681 is a `hidden beast` number, since 1 + 0 + 403 + 4 + 0 + 63 + 68 + 46 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15389654391225 + 88644409293456 = 3922965^2 + 9415116^2 .

It is a de Polignac number, because none of the positive numbers 2^k-104034063684681 is a prime.

It is a super-2 number, since 2×104034063684681² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (104034063684611) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3580083330 + ... + 3580112388.

It is an arithmetic number, because the mean of its divisors is an integer number (2681062743433).

Almost surely, 2^{104034063684681} is an apocalyptic number.

104034063684681 is the 10199709-th square number.

104034063684681 is the 5099855-th centered octagonal number.

It is an amenable number.

104034063684681 is a deficient number, since it is larger than the sum of its proper divisors (64872889151598).

104034063684681 is an frugal number, since it uses more digits than its factorization.

104034063684681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58162 (or 29075 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 104034063684681 in words is "one hundred four trillion, thirty-four billion, sixty-three million, six hundred eighty-four thousand, six hundred eighty-one".