103147890630625 has 15 divisors (see below), whose sum is σ = 128893921411717. Its totient is φ = 82518109381000.

The previous prime is 103147890630583. The next prime is 103147890630647. The reversal of 103147890630625 is 526036098741301.

It is a happy number.

The square root of 103147890630625 is 10156175.

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

It can be written as a sum of positive squares in 2 ways, for example, as 8086794625441 + 95061096005184 = 2843729^2 + 9749928^2 .

It is not a de Polignac number, because 103147890630625 - 2¹¹ = 103147890628577 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 (31) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 253701252 + ... + 254107498.

It is a 1-persistent number, because it is pandigital, but 2⋅103147890630625 = 206295781261250 is not.

Almost surely, 2^{103147890630625} is an apocalyptic number.

103147890630625 is the 10156175-th square number.

103147890630625 is the 5078088-th centered octagonal number.

It is an amenable number.

103147890630625 is a deficient number, since it is larger than the sum of its proper divisors (25746030781092).

103147890630625 is an frugal number, since it uses more digits than its factorization.

103147890630625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812514 (or 406252 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 103147890630625 in words is "one hundred three trillion, one hundred forty-seven billion, eight hundred ninety million, six hundred thirty thousand, six hundred twenty-five".