109679309438521 has 9 divisors (see below), whose sum is σ = 109766396906733. Its totient is φ = 109592291034720.

The previous prime is 109679309438509. The next prime is 109679309438551. The reversal of 109679309438521 is 125834903976901.

The square root of 109679309438521 is 10472789.

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 2594480126121 + 107084829312400 = 1610739^2 + 10348180^2 .

It is not a de Polignac number, because 109679309438521 - 2⁹ = 109679309438009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109679309438551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16222346781 + ... + 16222353541.

It is a 2-persistent number, because it is pandigital, and so is 2⋅109679309438521 = 219358618877042, but 3⋅109679309438521 = 329037928315563 is not.

Almost surely, 2^{109679309438521} is an apocalyptic number.

109679309438521 is the 10472789-th square number.

109679309438521 is the 5236395-th centered octagonal number.

It is an amenable number.

109679309438521 is a deficient number, since it is larger than the sum of its proper divisors (87087468212).

109679309438521 is an frugal number, since it uses more digits than its factorization.

109679309438521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16620 (or 8310 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 67.

The spelling of 109679309438521 in words is "one hundred nine trillion, six hundred seventy-nine billion, three hundred nine million, four hundred thirty-eight thousand, five hundred twenty-one".