102179319025 has 27 divisors (see below), whose sum is σ = 147404594241. Its totient is φ = 70058147040.

The previous prime is 102179318981. The next prime is 102179319031. The reversal of 102179319025 is 520913971201.

The square root of 102179319025 is 319655.

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 3236358321 + 98942960704 = 56889^2 + 314552^2 .

It is not a de Polignac number, because 102179319025 - 2²¹ = 102177221873 is a prime.

It is a super-2 number, since 2×102179319025² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

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, 11183359 + ... + 11192491.

Almost surely, 2^102179319025 is an apocalyptic number.

102179319025 is the 319655-th square number.

102179319025 is the 159828-th centered octagonal number.

It is an amenable number.

102179319025 is a deficient number, since it is larger than the sum of its proper divisors (45225275216).

102179319025 is an frugal number, since it uses more digits than its factorization.

102179319025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18290 (or 9145 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 40.

The spelling of 102179319025 in words is "one hundred two billion, one hundred seventy-nine million, three hundred nineteen thousand, twenty-five".