102729865225 has 27 divisors (see below), whose sum is σ = 137965618389. Its totient is φ = 75846669600.

The previous prime is 102729865213. The next prime is 102729865237. The reversal of 102729865225 is 522568927201.

The square root of 102729865225 is 320515.

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

It is an interprime number because it is at equal distance from previous prime (102729865213) and next prime (102729865237).

It can be written as a sum of positive squares in 4 ways, for example, as 26478774729 + 76251090496 = 162723^2 + 276136^2 .

It is not a de Polignac number, because 102729865225 - 2⁵ = 102729865193 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 (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20831010 + ... + 20835940.

Almost surely, 2^102729865225 is an apocalyptic number.

102729865225 is the 320515-th square number.

102729865225 is the 160258-th centered octagonal number.

It is an amenable number.

102729865225 is a deficient number, since it is larger than the sum of its proper divisors (35235753164).

102729865225 is an frugal number, since it uses more digits than its factorization.

102729865225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9898 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 49.

Multiplying 102729865225 by its sum of digits (49), we get a square (5033763396025 = 2243605²).

The spelling of 102729865225 in words is "one hundred two billion, seven hundred twenty-nine million, eight hundred sixty-five thousand, two hundred twenty-five".