103815415330225 has 27 divisors (see below), whose sum is σ = 131209244618403. Its totient is φ = 81483187818240.

The previous prime is 103815415330183. The next prime is 103815415330259. The reversal of 103815415330225 is 522033514518301.

It is a happy number.

The square root of 103815415330225 is 10188985.

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

It can be written as a sum of positive squares in 13 ways, for example, as 100462473471409 + 3352941858816 = 10023097^2 + 1831104^2 .

It is not a de Polignac number, because 103815415330225 - 2³³ = 103806825395633 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2700061801 + ... + 2700100249.

Almost surely, 2^{103815415330225} is an apocalyptic number.

103815415330225 is the 10188985-th square number.

103815415330225 is the 5094493-rd centered octagonal number.

It is an amenable number.

103815415330225 is a deficient number, since it is larger than the sum of its proper divisors (27393829288178).

103815415330225 is an frugal number, since it uses more digits than its factorization.

103815415330225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77014 (or 38507 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 43.

Adding to 103815415330225 its reverse (522033514518301), we get a palindrome (625848929848526).

The spelling of 103815415330225 in words is "one hundred three trillion, eight hundred fifteen billion, four hundred fifteen million, three hundred thirty thousand, two hundred twenty-five".