102207550550625 has 135 divisors (see below), whose sum is σ = 199784187071469. Its totient is φ = 50312710656000.

The previous prime is 102207550550603. The next prime is 102207550550659. The reversal of 102207550550625 is 526055055702201.

The square root of 102207550550625 is 10109775.

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

102207550550625 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 0 + 75 + 5 + 0 + 550 + 6 + 25 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 11863057829841 + 90344492720784 = 3444279^2 + 9504972^2 .

It is not a de Polignac number, because 102207550550625 - 2¹¹ = 102207550548577 is a prime.

It is a super-3 number, since 3×102207550550625³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 9857025441 + ... + 9857035809.

Almost surely, 2^{102207550550625} is an apocalyptic number.

102207550550625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102207550550625 is the 10109775-th square number.

102207550550625 is the 5054888-th centered octagonal number.

It is an amenable number.

102207550550625 is a deficient number, since it is larger than the sum of its proper divisors (97576636520844).

102207550550625 is an frugal number, since it uses more digits than its factorization.

102207550550625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20790 (or 10390 counting only the distinct ones).

The product of its (nonzero) digits is 1050000, while the sum is 45.

The spelling of 102207550550625 in words is "one hundred two trillion, two hundred seven billion, five hundred fifty million, five hundred fifty thousand, six hundred twenty-five".