102724513 has 2 divisors, whose sum is σ = 102724514. Its totient is φ = 102724512.

The previous prime is 102724499. The next prime is 102724529. The reversal of 102724513 is 315427201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102252544 + 471969 = 10112^2 + 687^2 .

It is a cyclic number.

It is not a de Polignac number, because 102724513 - 2⁵ = 102724481 is a prime.

It is not a weakly prime, because it can be changed into another prime (102724553) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51362256 + 51362257.

It is an arithmetic number, because the mean of its divisors is an integer number (51362257).

Almost surely, 2^102724513 is an apocalyptic number.

It is an amenable number.

102724513 is a deficient number, since it is larger than the sum of its proper divisors (1).

102724513 is an equidigital number, since it uses as much as digits as its factorization.

102724513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 102724513 is about 10135.3102073888. The cubic root of 102724513 is about 468.3365262240.

The spelling of 102724513 in words is "one hundred two million, seven hundred twenty-four thousand, five hundred thirteen".