109557774990225 has 81 divisors (see below), whose sum is σ = 208457173533297. Its totient is φ = 54992366887680.

The previous prime is 109557774990217. The next prime is 109557774990241. The reversal of 109557774990225 is 522099477755901.

It is a happy number.

The square root of 109557774990225 is 10466985.

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

109557774990225 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 577 + 7 + 49 + 9 + 0 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2562666293889 + 106995108696336 = 1600833^2 + 10343844^2 .

It is not a de Polignac number, because 109557774990225 - 2³ = 109557774990217 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2669060652 + ... + 2669101698.

Almost surely, 2^{109557774990225} is an apocalyptic number.

109557774990225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

109557774990225 is the 10466985-th square number.

109557774990225 is the 5233493-rd centered octagonal number.

It is an amenable number.

109557774990225 is a deficient number, since it is larger than the sum of its proper divisors (98899398543072).

109557774990225 is an frugal number, since it uses more digits than its factorization.

109557774990225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82144 (or 41072 counting only the distinct ones).

The product of its (nonzero) digits is 500094000, while the sum is 72.

The spelling of 109557774990225 in words is "one hundred nine trillion, five hundred fifty-seven billion, seven hundred seventy-four million, nine hundred ninety thousand, two hundred twenty-five".