103387308882025 has 243 divisors, whose sum is σ = 165829805452101. Its totient is φ = 63736971809280.

The previous prime is 103387308881971. The next prime is 103387308882029. The reversal of 103387308882025 is 520288803783301.

The square root of 103387308882025 is 10167955.

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 2418332899801 + 100968975982224 = 1555099^2 + 10048332^2 .

It is not a de Polignac number, because 103387308882025 - 2⁹ = 103387308881513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103387308882029) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 139148463804 + ... + 139148464546.

Almost surely, 2^{103387308882025} is an apocalyptic number.

103387308882025 is the 10167955-th square number.

103387308882025 is the 5083978-th centered octagonal number.

It is an amenable number.

103387308882025 is a deficient number, since it is larger than the sum of its proper divisors (62442496570076).

103387308882025 is an frugal number, since it uses more digits than its factorization.

103387308882025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 58.

The spelling of 103387308882025 in words is "one hundred three trillion, three hundred eighty-seven billion, three hundred eight million, eight hundred eighty-two thousand, twenty-five".