102309813 has 12 divisors (see below), whose sum is σ = 155559040. Its totient is φ = 64616616.

The previous prime is 102309761. The next prime is 102309829. The reversal of 102309813 is 318903201.

It is not a de Polignac number, because 102309813 - 2⁹ = 102309301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102309833) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 298981 + ... + 299322.

Almost surely, 2^102309813 is an apocalyptic number.

It is an amenable number.

102309813 is a deficient number, since it is larger than the sum of its proper divisors (53249227).

102309813 is a wasteful number, since it uses less digits than its factorization.

102309813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598328 (or 598325 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 102309813 is about 10114.8313381885. The cubic root of 102309813 is about 467.7054496534.

The spelling of 102309813 in words is "one hundred two million, three hundred nine thousand, eight hundred thirteen".