104214689329 has 9 divisors (see below), whose sum is σ = 106235545899. Its totient is φ = 102231587640.

The previous prime is 104214689321. The next prime is 104214689339. The reversal of 104214689329 is 923986412401.

It is a happy number.

The square root of 104214689329 is 322823.

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., 75128069025 + 29086620304 = 274095^2 + 170548^2 .

It is not a de Polignac number, because 104214689329 - 2³ = 104214689321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104214689321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17106574 + ... + 17112664.

Almost surely, 2^104214689329 is an apocalyptic number.

104214689329 is the 322823-rd square number.

104214689329 is the 161412-nd centered octagonal number.

It is an amenable number.

104214689329 is a deficient number, since it is larger than the sum of its proper divisors (2020856570).

104214689329 is an frugal number, since it uses more digits than its factorization.

104214689329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12288 (or 6144 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

Multiplying 104214689329 by its sum of digits (49), we get a square (5106519777121 = 2259761²).

The spelling of 104214689329 in words is "one hundred four billion, two hundred fourteen million, six hundred eighty-nine thousand, three hundred twenty-nine".