102605013 has 24 divisors (see below), whose sum is σ = 179345088. Its totient is φ = 55181952.

The previous prime is 102605003. The next prime is 102605021. The reversal of 102605013 is 310506201.

102605013 is a `hidden beast` number, since 102 + 60 + 501 + 3 = 666.

It is not a de Polignac number, because 102605013 - 2⁵ = 102604981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102605003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46831 + ... + 48972.

It is an arithmetic number, because the mean of its divisors is an integer number (7472712).

Almost surely, 2^102605013 is an apocalyptic number.

It is an amenable number.

102605013 is a deficient number, since it is larger than the sum of its proper divisors (76740075).

102605013 is a wasteful number, since it uses less digits than its factorization.

102605013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95833 (or 95830 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 102605013 is about 10129.4132604016. The cubic root of 102605013 is about 468.1548495912.

The spelling of 102605013 in words is "one hundred two million, six hundred five thousand, thirteen".