102524838025 has 27 divisors (see below), whose sum is σ = 135084840469. Its totient is φ = 77174679680.

The previous prime is 102524837977. The next prime is 102524838043. The reversal of 102524838025 is 520838425201.

The square root of 102524838025 is 320195.

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 2398158841 + 100126679184 = 48971^2 + 316428^2 .

It is not a de Polignac number, because 102524838025 - 2¹¹ = 102524835977 is a prime.

It is a super-2 number, since 2×102524838025² (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, 27214692 + ... + 27218458.

Almost surely, 2^102524838025 is an apocalyptic number.

102524838025 is the 320195-th square number.

102524838025 is the 160098-th centered octagonal number.

It is an amenable number.

102524838025 is a deficient number, since it is larger than the sum of its proper divisors (32560002444).

102524838025 is an frugal number, since it uses more digits than its factorization.

102524838025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7578 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The spelling of 102524838025 in words is "one hundred two billion, five hundred twenty-four million, eight hundred thirty-eight thousand, twenty-five".