104697487088041 has 9 divisors (see below), whose sum is σ = 104775340173399. Its totient is φ = 104619691831104.

The previous prime is 104697487088039. The next prime is 104697487088083. The reversal of 104697487088041 is 140880784796401.

The square root of 104697487088041 is 10232179.

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

It can be written as a sum of positive squares in only one way, i.e., 98985884197225 + 5711602890816 = 9949165^2 + 2389896^2 .

It is not a de Polignac number, because 104697487088041 - 2¹ = 104697487088039 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104697487088011) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17875613785 + ... + 17875619641.

It is an arithmetic number, because the mean of its divisors is an integer number (11641704463711).

Almost surely, 2^{104697487088041} is an apocalyptic number.

104697487088041 is the 10232179-th square number.

104697487088041 is the 5116090-th centered octagonal number.

It is an amenable number.

104697487088041 is a deficient number, since it is larger than the sum of its proper divisors (77853085358).

104697487088041 is an frugal number, since it uses more digits than its factorization.

104697487088041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15208 (or 7604 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 67.

The spelling of 104697487088041 in words is "one hundred four trillion, six hundred ninety-seven billion, four hundred eighty-seven million, eighty-eight thousand, forty-one".