104853073968841 has 9 divisors (see below), whose sum is σ = 115251849741063. Its totient is φ = 95320873937520.

The previous prime is 104853073968827. The next prime is 104853073968847. The reversal of 104853073968841 is 148869370358401.

The square root of 104853073968841 is 10239779.

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., 68223949128841 + 36629124840000 = 8259779^2 + 6052200^2 .

It is not a de Polignac number, because 104853073968841 - 2⁴¹ = 102654050713289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104853073968847) 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, 112172125 + ... + 113103013.

Almost surely, 2^{104853073968841} is an apocalyptic number.

104853073968841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

104853073968841 is the 10239779-th square number.

104853073968841 is the 5119890-th centered octagonal number.

It is an amenable number.

104853073968841 is a deficient number, since it is larger than the sum of its proper divisors (10398775772222).

104853073968841 is an frugal number, since it uses more digits than its factorization.

104853073968841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861800 (or 930900 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 67.

The spelling of 104853073968841 in words is "one hundred four trillion, eight hundred fifty-three billion, seventy-three million, nine hundred sixty-eight thousand, eight hundred forty-one".