102725271 has 48 divisors (see below), whose sum is σ = 174140928. Its totient is φ = 57657600.

The previous prime is 102725269. The next prime is 102725317. The reversal of 102725271 is 172527201.

It is not a de Polignac number, because 102725271 - 2¹ = 102725269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102725261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112306 + ... + 113216.

It is an arithmetic number, because the mean of its divisors is an integer number (3627936).

Almost surely, 2^102725271 is an apocalyptic number.

102725271 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102725271 is a deficient number, since it is larger than the sum of its proper divisors (71415657).

102725271 is a wasteful number, since it uses less digits than its factorization.

102725271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 102725271 is about 10135.3476013406. The cubic root of 102725271 is about 468.3376781665.

The spelling of 102725271 in words is "one hundred two million, seven hundred twenty-five thousand, two hundred seventy-one".