108977209816225 has 27 divisors (see below), whose sum is σ = 138510743987289. Its totient is φ = 85053712996800.

The previous prime is 108977209816219. The next prime is 108977209816291. The reversal of 108977209816225 is 522618902779801.

The square root of 108977209816225 is 10439215.

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 45870264472081 + 63106945344144 = 6772759^2 + 7943988^2 .

It is not a de Polignac number, because 108977209816225 - 2³ = 108977209816217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 2140013614 + ... + 2140064536.

Almost surely, 2^{108977209816225} is an apocalyptic number.

108977209816225 is the 10439215-th square number.

108977209816225 is the 5219608-th centered octagonal number.

It is an amenable number.

108977209816225 is a deficient number, since it is larger than the sum of its proper divisors (29533534171064).

108977209816225 is an frugal number, since it uses more digits than its factorization.

108977209816225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101938 (or 50969 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 67.

The spelling of 108977209816225 in words is "one hundred eight trillion, nine hundred seventy-seven billion, two hundred nine million, eight hundred sixteen thousand, two hundred twenty-five".