102448005625 has 135 divisors (see below), whose sum is σ = 156531254121. Its totient is φ = 66831660000.

The previous prime is 102448005623. The next prime is 102448005677. The reversal of 102448005625 is 526500844201.

The square root of 102448005625 is 320075.

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

It can be written as a sum of positive squares in 2 ways, for example, as 8031923641 + 94416081984 = 89621^2 + 307272^2 .

It is not a de Polignac number, because 102448005625 - 2¹ = 102448005623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102448005623) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 1736406846 + ... + 1736406904.

Almost surely, 2^102448005625 is an apocalyptic number.

102448005625 is the 320075-th square number.

102448005625 is the 160038-th centered octagonal number.

It is an amenable number.

102448005625 is a deficient number, since it is larger than the sum of its proper divisors (54083248496).

102448005625 is an frugal number, since it uses more digits than its factorization.

102448005625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

Adding to 102448005625 its reverse (526500844201), we get a palindrome (628948849826).

The spelling of 102448005625 in words is "one hundred two billion, four hundred forty-eight million, five thousand, six hundred twenty-five".