102148182517 has 2 divisors, whose sum is σ = 102148182518. Its totient is φ = 102148182516.

The previous prime is 102148182473. The next prime is 102148182533. The reversal of 102148182517 is 715281841201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101892470436 + 255712081 = 319206^2 + 15991^2 .

It is a cyclic number.

It is not a de Polignac number, because 102148182517 - 2¹⁵ = 102148149749 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102148182517.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102148132517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51074091258 + 51074091259.

It is an arithmetic number, because the mean of its divisors is an integer number (51074091259).

Almost surely, 2^102148182517 is an apocalyptic number.

It is an amenable number.

102148182517 is a deficient number, since it is larger than the sum of its proper divisors (1).

102148182517 is an equidigital number, since it uses as much as digits as its factorization.

102148182517 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 35840, while the sum is 40.

The spelling of 102148182517 in words is "one hundred two billion, one hundred forty-eight million, one hundred eighty-two thousand, five hundred seventeen".