104685249601 has 9 divisors (see below), whose sum is σ = 110491474851. Its totient is φ = 99169675704.

The previous prime is 104685249587. The next prime is 104685249607. The reversal of 104685249601 is 106942586401.

It is a happy number.

The square root of 104685249601 is 323551.

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., 83724001201 + 20961248400 = 289351^2 + 144780^2 .

It is not a de Polignac number, because 104685249601 - 2¹¹ = 104685247553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104685249607) 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 8 ways as a sum of consecutive naturals, for example, 6138955 + ... + 6155983.

It is an arithmetic number, because the mean of its divisors is an integer number (12276830539).

Almost surely, 2^104685249601 is an apocalyptic number.

104685249601 is the 323551-st square number.

104685249601 is the 161776-th centered octagonal number.

It is an amenable number.

104685249601 is a deficient number, since it is larger than the sum of its proper divisors (5806225250).

104685249601 is an frugal number, since it uses more digits than its factorization.

104685249601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34096 (or 17048 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 104685249601 in words is "one hundred four billion, six hundred eighty-five million, two hundred forty-nine thousand, six hundred one".