102516405461 has 2 divisors, whose sum is σ = 102516405462. Its totient is φ = 102516405460.

The previous prime is 102516405443. The next prime is 102516405487. The reversal of 102516405461 is 164504615201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82093137361 + 20423268100 = 286519^2 + 142910^2 .

It is an emirp because it is prime and its reverse (164504615201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102516405461 - 2²⁶ = 102449296597 is a prime.

It is a super-2 number, since 2×102516405461² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102516405361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51258202730 + 51258202731.

It is an arithmetic number, because the mean of its divisors is an integer number (51258202731).

Almost surely, 2^102516405461 is an apocalyptic number.

It is an amenable number.

102516405461 is a deficient number, since it is larger than the sum of its proper divisors (1).

102516405461 is an equidigital number, since it uses as much as digits as its factorization.

102516405461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 102516405461 in words is "one hundred two billion, five hundred sixteen million, four hundred five thousand, four hundred sixty-one".