102283529515024 has 135 divisors (see below), whose sum is σ = 235886255462487. Its totient is φ = 42913738982400.

The previous prime is 102283529515019. The next prime is 102283529515033. The reversal of 102283529515024 is 420515925382201.

It is a happy number.

The square root of 102283529515024 is 10113532.

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 35181743216400 + 67101786298624 = 5931420^2 + 8191568^2 .

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, 5784931464 + ... + 5784949144.

Almost surely, 2^{102283529515024} is an apocalyptic number.

102283529515024 is the 10113532-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102283529515024

102283529515024 is an abundant number, since it is smaller than the sum of its proper divisors (133602725947463).

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

102283529515024 is an frugal number, since it uses more digits than its factorization.

102283529515024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35418 (or 17707 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 49.

The spelling of 102283529515024 in words is "one hundred two trillion, two hundred eighty-three billion, five hundred twenty-nine million, five hundred fifteen thousand, twenty-four".