103955459181025 has 9 divisors (see below), whose sum is σ = 128904832598803. Its totient is φ = 83164326561400.

The previous prime is 103955459181019. The next prime is 103955459181029. The reversal of 103955459181025 is 520181954559301.

The square root of 103955459181025 is 10195855.

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

It can be written as a sum of positive squares in only one way, i.e., 37423965305169 + 66531493875856 = 6117513^2 + 8156684^2 .

It is not a de Polignac number, because 103955459181025 - 2⁹ = 103955459180513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103955459181029) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49959690 + ... + 51998860.

Almost surely, 2^{103955459181025} is an apocalyptic number.

103955459181025 is the 10195855-th square number.

103955459181025 is the 5097928-th centered octagonal number.

It is an amenable number.

103955459181025 is a deficient number, since it is larger than the sum of its proper divisors (24949373417778).

103955459181025 is an frugal number, since it uses more digits than its factorization.

103955459181025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078352 (or 2039176 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 58.

The spelling of 103955459181025 in words is "one hundred three trillion, nine hundred fifty-five billion, four hundred fifty-nine million, one hundred eighty-one thousand, twenty-five".