102358404225 has 243 divisors, whose sum is σ = 235267397001. Its totient is φ = 42384988800.

The previous prime is 102358404193. The next prime is 102358404287. The reversal of 102358404225 is 522404853201.

The square root of 102358404225 is 319935.

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

102358404225 is a `hidden beast` number, since 1 + 0 + 23 + 5 + 8 + 404 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23455841409 + 78902562816 = 153153^2 + 280896^2 .

It is not a de Polignac number, because 102358404225 - 2⁵ = 102358404193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102358404225.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 369524787 + ... + 369525063.

Almost surely, 2^102358404225 is an apocalyptic number.

102358404225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102358404225 is the 319935-th square number.

102358404225 is the 159968-th centered octagonal number.

It is an amenable number.

102358404225 is an abundant number, since it is smaller than the sum of its proper divisors (132908992776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102358404225 is a wasteful number, since it uses less digits than its factorization.

102358404225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Multiplying 102358404225 by its sum of digits (36), we get a square (3684902552100 = 1919610²).

The spelling of 102358404225 in words is "one hundred two billion, three hundred fifty-eight million, four hundred four thousand, two hundred twenty-five".