109088181225 has 81 divisors (see below), whose sum is σ = 198297680997. Its totient is φ = 57326906880.

The previous prime is 109088181193. The next prime is 109088181233. The reversal of 109088181225 is 522181880901.

The square root of 109088181225 is 330285.

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 4011068889 + 105077112336 = 63333^2 + 324156^2 .

It is not a de Polignac number, because 109088181225 - 2⁵ = 109088181193 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 480564562 + ... + 480564788.

Almost surely, 2^109088181225 is an apocalyptic number.

109088181225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

109088181225 is the 330285-th square number.

109088181225 is the 165143-rd centered octagonal number.

It is an amenable number.

109088181225 is a deficient number, since it is larger than the sum of its proper divisors (89209499772).

109088181225 is an frugal number, since it uses more digits than its factorization.

109088181225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 45.

The spelling of 109088181225 in words is "one hundred nine billion, eighty-eight million, one hundred eighty-one thousand, two hundred twenty-five".