102905582521 has 9 divisors (see below), whose sum is σ = 119709106149. Its totient is φ = 88202860284.

The previous prime is 102905582519. The next prime is 102905582573. The reversal of 102905582521 is 125285509201.

The square root of 102905582521 is 320789.

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

It is not a de Polignac number, because 102905582521 - 2¹ = 102905582519 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102905582501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2222610 + ... + 2268436.

Almost surely, 2^102905582521 is an apocalyptic number.

102905582521 is the 320789-th square number.

102905582521 is the 160395-th centered octagonal number.

It is an amenable number.

102905582521 is a deficient number, since it is larger than the sum of its proper divisors (16803523628).

102905582521 is an frugal number, since it uses more digits than its factorization.

102905582521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91668 (or 45834 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 40.

The spelling of 102905582521 in words is "one hundred two billion, nine hundred five million, five hundred eighty-two thousand, five hundred twenty-one".