102713085 has 12 divisors (see below), whose sum is σ = 178036092. Its totient is φ = 54780288.

The previous prime is 102713059. The next prime is 102713119. The reversal of 102713085 is 580317201.

It can be written as a sum of positive squares in 2 ways, for example, as 35784324 + 66928761 = 5982^2 + 8181^2 .

It is not a de Polignac number, because 102713085 - 2⁵ = 102713053 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 1141212 + ... + 1141301.

It is an arithmetic number, because the mean of its divisors is an integer number (14836341).

Almost surely, 2^102713085 is an apocalyptic number.

102713085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102713085 is a deficient number, since it is larger than the sum of its proper divisors (75323007).

102713085 is a wasteful number, since it uses less digits than its factorization.

102713085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282524 (or 2282521 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 102713085 is about 10134.7464201133. The cubic root of 102713085 is about 468.3191582555.

The spelling of 102713085 in words is "one hundred two million, seven hundred thirteen thousand, eighty-five".