102727431 has 12 divisors (see below), whose sum is σ = 148627440. Its totient is φ = 68372640.

The previous prime is 102727421. The next prime is 102727439. The reversal of 102727431 is 134727201.

It is a happy number.

It is not a de Polignac number, because 102727431 - 2⁵ = 102727399 is a prime.

It is a super-2 number, since 2×102727431² = 21105850159719522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102727395 and 102727404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102727439) 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 11 ways as a sum of consecutive naturals, for example, 3366 + ... + 14723.

It is an arithmetic number, because the mean of its divisors is an integer number (12385620).

Almost surely, 2^102727431 is an apocalyptic number.

102727431 is a deficient number, since it is larger than the sum of its proper divisors (45900009).

102727431 is a wasteful number, since it uses less digits than its factorization.

102727431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18726 (or 18723 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 102727431 is about 10135.4541585466. The cubic root of 102727431 is about 468.3409607158.

The spelling of 102727431 in words is "one hundred two million, seven hundred twenty-seven thousand, four hundred thirty-one".