102624113 has 2 divisors, whose sum is σ = 102624114. Its totient is φ = 102624112.

The previous prime is 102624089. The next prime is 102624133. The reversal of 102624113 is 311426201.

It is an a-pointer prime, because the next prime (102624133) can be obtained adding 102624113 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97278769 + 5345344 = 9863^2 + 2312^2 .

It is a cyclic number.

It is not a de Polignac number, because 102624113 - 2²⁴ = 85846897 is a prime.

It is not a weakly prime, because it can be changed into another prime (102624133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51312056 + 51312057.

It is an arithmetic number, because the mean of its divisors is an integer number (51312057).

Almost surely, 2^102624113 is an apocalyptic number.

It is an amenable number.

102624113 is a deficient number, since it is larger than the sum of its proper divisors (1).

102624113 is an equidigital number, since it uses as much as digits as its factorization.

102624113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 102624113 is about 10130.3560154616. The cubic root of 102624113 is about 468.1838969142.

The spelling of 102624113 in words is "one hundred two million, six hundred twenty-four thousand, one hundred thirteen".