103130219643025 has 81 divisors (see below), whose sum is σ = 134614670059569. Its totient is φ = 78371007200640.

The previous prime is 103130219643023. The next prime is 103130219643049. The reversal of 103130219643025 is 520346912031301.

The square root of 103130219643025 is 10155305.

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 20310245742721 + 82819973900304 = 4506689^2 + 9100548^2 .

It is not a de Polignac number, because 103130219643025 - 2¹ = 103130219643023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103130219643023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 272111397286 + ... + 272111397664.

Almost surely, 2^{103130219643025} is an apocalyptic number.

103130219643025 is the 10155305-th square number.

103130219643025 is the 5077653-rd centered octagonal number.

It is an amenable number.

103130219643025 is a deficient number, since it is larger than the sum of its proper divisors (31484450416544).

103130219643025 is an frugal number, since it uses more digits than its factorization.

103130219643025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 103130219643025 in words is "one hundred three trillion, one hundred thirty billion, two hundred nineteen million, six hundred forty-three thousand, twenty-five".