102306393 has 24 divisors (see below), whose sum is σ = 177777600. Its totient is φ = 55383264.

The previous prime is 102306389. The next prime is 102306401. The reversal of 102306393 is 393603201.

102306393 is a `hidden beast` number, since 1 + 0 + 23 + 0 + 639 + 3 = 666.

It is not a de Polignac number, because 102306393 - 2² = 102306389 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102306353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41538 + ... + 43931.

It is an arithmetic number, because the mean of its divisors is an integer number (7407400).

Almost surely, 2^102306393 is an apocalyptic number.

It is an amenable number.

102306393 is a deficient number, since it is larger than the sum of its proper divisors (75471207).

102306393 is a wasteful number, since it uses less digits than its factorization.

102306393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85501 (or 85498 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 102306393 is about 10114.6622780991. The cubic root of 102306393 is about 467.7002381283.

Adding to 102306393 its reverse (393603201), we get a palindrome (495909594).

The spelling of 102306393 in words is "one hundred two million, three hundred six thousand, three hundred ninety-three".