104788941802609 has 27 divisors (see below), whose sum is σ = 107544394808737. Its totient is φ = 102103101545984.

The previous prime is 104788941802607. The next prime is 104788941802709. The reversal of 104788941802609 is 906208149887401.

The square root of 104788941802609 is 10236647.

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

It can be written as a sum of positive squares in 4 ways, for example, as 44386201316209 + 60402740486400 = 6662297^2 + 7771920^2 .

It is not a de Polignac number, because 104788941802609 - 2¹ = 104788941802607 is a prime.

It is a super-2 number, since 2×104788941802609² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104788941802607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 169836210069 + ... + 169836210685.

Almost surely, 2^{104788941802609} is an apocalyptic number.

104788941802609 is the 10236647-th square number.

104788941802609 is the 5118324-th centered octagonal number.

It is an amenable number.

104788941802609 is a deficient number, since it is larger than the sum of its proper divisors (2755453006128).

104788941802609 is an frugal number, since it uses more digits than its factorization.

104788941802609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 67.

The spelling of 104788941802609 in words is "one hundred four trillion, seven hundred eighty-eight billion, nine hundred forty-one million, eight hundred two thousand, six hundred nine".