111108232742521 has 27 divisors (see below), whose sum is σ = 129472849122831. Its totient is φ = 95070496064544.

The previous prime is 111108232742503. The next prime is 111108232742537. The reversal of 111108232742521 is 125247232801111.

The square root of 111108232742521 is 10540789.

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., 3146490607225 + 107961742135296 = 1773835^2 + 10390464^2 .

It is not a de Polignac number, because 111108232742521 - 2⁹ = 111108232742009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111108232746521) 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, 63381763381 + ... + 63381765133.

It is an arithmetic number, because the mean of its divisors is an integer number (4795290708253).

Almost surely, 2^{111108232742521} is an apocalyptic number.

111108232742521 is the 10540789-th square number.

111108232742521 is the 5270395-th centered octagonal number.

It is an amenable number.

111108232742521 is a deficient number, since it is larger than the sum of its proper divisors (18364616380310).

111108232742521 is an frugal number, since it uses more digits than its factorization.

111108232742521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5238 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The spelling of 111108232742521 in words is "one hundred eleven trillion, one hundred eight billion, two hundred thirty-two million, seven hundred forty-two thousand, five hundred twenty-one".