102716413 has 24 divisors (see below), whose sum is σ = 115214400. Its totient is φ = 91371456.

The previous prime is 102716407. The next prime is 102716417. The reversal of 102716413 is 314617201.

It is not a de Polignac number, because 102716413 - 2⁵ = 102716381 is a prime.

It is a super-2 number, since 2×102716413² = 21101322999173138, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102716417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 738898 + ... + 739036.

It is an arithmetic number, because the mean of its divisors is an integer number (4800600).

Almost surely, 2^102716413 is an apocalyptic number.

It is an amenable number.

102716413 is a deficient number, since it is larger than the sum of its proper divisors (12497987).

102716413 is a wasteful number, since it uses less digits than its factorization.

102716413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 102716413 is about 10134.9106064139. The cubic root of 102716413 is about 468.3242161937.

The spelling of 102716413 in words is "one hundred two million, seven hundred sixteen thousand, four hundred thirteen".