103320459225 has 63 divisors (see below), whose sum is σ = 192168891469. Its totient is φ = 55081101600.

The previous prime is 103320459223. The next prime is 103320459247. The reversal of 103320459225 is 522954023301.

The square root of 103320459225 is 321435.

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

103320459225 is a `hidden beast` number, since 10 + 3 + 32 + 0 + 4 + 592 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63227605401 + 40092853824 = 251451^2 + 200232^2 .

It is not a de Polignac number, because 103320459225 - 2¹ = 103320459223 is a prime.

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 103320459225.

It is not an unprimeable number, because it can be changed into a prime (103320459223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 43392535 + ... + 43394915.

Almost surely, 2^103320459225 is an apocalyptic number.

103320459225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

103320459225 is the 321435-th square number.

103320459225 is the 160718-th centered octagonal number.

It is an amenable number.

103320459225 is a deficient number, since it is larger than the sum of its proper divisors (88848432244).

103320459225 is an frugal number, since it uses more digits than its factorization.

103320459225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4790 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Multiplying 103320459225 by its sum of digits (36), we get a square (3719536532100 = 1928610²).

The spelling of 103320459225 in words is "one hundred three billion, three hundred twenty million, four hundred fifty-nine thousand, two hundred twenty-five".