109445180625 has 135 divisors (see below), whose sum is σ = 217680309847. Its totient is φ = 52932000000.

The previous prime is 109445180569. The next prime is 109445180633. The reversal of 109445180625 is 526081544901.

The square root of 109445180625 is 330825.

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

109445180625 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 4 + 5 + 18 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 15338574801 + 94106605824 = 123849^2 + 306768^2 .

It is not a de Polignac number, because 109445180625 - 2¹³ = 109445172433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 272930425 + ... + 272930825.

Almost surely, 2^109445180625 is an apocalyptic number.

109445180625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

109445180625 is the 330825-th square number.

109445180625 is the 165413-rd centered octagonal number.

It is an amenable number.

109445180625 is a deficient number, since it is larger than the sum of its proper divisors (108235129222).

109445180625 is an frugal number, since it uses more digits than its factorization.

109445180625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 109445180625 in words is "one hundred nine billion, four hundred forty-five million, one hundred eighty thousand, six hundred twenty-five".