109081575625 has 45 divisors (see below), whose sum is σ = 149951374419. Its totient is φ = 79266000000.

The previous prime is 109081575599. The next prime is 109081575721. The reversal of 109081575625 is 526575180901.

The square root of 109081575625 is 330275.

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

It can be written as a sum of positive squares in 7 ways, for example, as 102767048329 + 6314527296 = 320573^2 + 79464^2 .

It is not a de Polignac number, because 109081575625 - 2⁷ = 109081575497 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 90825025 + ... + 90826225.

Almost surely, 2^109081575625 is an apocalyptic number.

109081575625 is the 330275-th square number.

109081575625 is the 165138-th centered octagonal number.

It is an amenable number.

109081575625 is a deficient number, since it is larger than the sum of its proper divisors (40869798794).

109081575625 is an frugal number, since it uses more digits than its factorization.

With its predecessor (109081575624) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (2444).

109081575625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 49.

Multiplying 109081575625 by its sum of digits (49), we get a square (5344997205625 = 2311925²).

The spelling of 109081575625 in words is "one hundred nine billion, eighty-one million, five hundred seventy-five thousand, six hundred twenty-five".