109857125625625 has 135 divisors (see below), whose sum is σ = 161559299204193. Its totient is φ = 74458977600000.

The previous prime is 109857125625571. The next prime is 109857125625629. The reversal of 109857125625625 is 526526521758901.

The square root of 109857125625625 is 10481275.

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

It can be written as a sum of positive squares in 22 ways, for example, as 91739060958601 + 18118064667024 = 9578051^2 + 4256532^2 .

It is not a de Polignac number, because 109857125625625 - 2⁴¹ = 107658102370073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109857125625629) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 185256535329 + ... + 185256535921.

Almost surely, 2^{109857125625625} is an apocalyptic number.

109857125625625 is the 10481275-th square number.

109857125625625 is the 5240638-th centered octagonal number.

It is an amenable number.

109857125625625 is a deficient number, since it is larger than the sum of its proper divisors (51702173578568).

109857125625625 is an frugal number, since it uses more digits than its factorization.

109857125625625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 90720000, while the sum is 64.

The spelling of 109857125625625 in words is "one hundred nine trillion, eight hundred fifty-seven billion, one hundred twenty-five million, six hundred twenty-five thousand, six hundred twenty-five".