103413747255025 has 27 divisors (see below), whose sum is σ = 128564974147329. Its totient is φ = 82517402772000.

The previous prime is 103413747254969. The next prime is 103413747255031. The reversal of 103413747255025 is 520552747314301.

The square root of 103413747255025 is 10169255.

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 59225075983089 + 44188671271936 = 7695783^2 + 6647456^2 .

It is not a de Polignac number, because 103413747255025 - 2¹⁹ = 103413746730737 is a prime.

It is a super-3 number, since 3×103413747255025³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103413747255025.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21406279360 + ... + 21406284190.

Almost surely, 2^{103413747255025} is an apocalyptic number.

103413747255025 is the 10169255-th square number.

103413747255025 is the 5084628-th centered octagonal number.

It is an amenable number.

103413747255025 is a deficient number, since it is larger than the sum of its proper divisors (25151226892304).

103413747255025 is an frugal number, since it uses more digits than its factorization.

103413747255025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10514 (or 5257 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 49.

The spelling of 103413747255025 in words is "one hundred three trillion, four hundred thirteen billion, seven hundred forty-seven million, two hundred fifty-five thousand, twenty-five".