103932088225 has 81 divisors (see below), whose sum is σ = 153430728633. Its totient is φ = 69635160000.

The previous prime is 103932088213. The next prime is 103932088231. The reversal of 103932088225 is 522880239301.

The square root of 103932088225 is 322385.

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 47873002401 + 56059085824 = 218799^2 + 236768^2 .

It is not a de Polignac number, because 103932088225 - 2¹¹ = 103932086177 is a prime.

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, 688291900 + ... + 688292050.

Almost surely, 2^103932088225 is an apocalyptic number.

103932088225 is the 322385-th square number.

103932088225 is the 161193-rd centered octagonal number.

It is an amenable number.

103932088225 is a deficient number, since it is larger than the sum of its proper divisors (49498640408).

103932088225 is an frugal number, since it uses more digits than its factorization.

103932088225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 103932088225 in words is "one hundred three billion, nine hundred thirty-two million, eighty-eight thousand, two hundred twenty-five".