102710704967641 has 9 divisors (see below), whose sum is σ = 103456365857013. Its totient is φ = 101970380453820.

The previous prime is 102710704967627. The next prime is 102710704967671. The reversal of 102710704967641 is 146769407017201.

The square root of 102710704967641 is 10134629.

It is a perfect power (a square), and thus also a powerful number.

It is a de Polignac number, because none of the positive numbers 2^k-102710704967641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102710704967671) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1408676976 + ... + 1408749886.

Almost surely, 2^{102710704967641} is an apocalyptic number.

102710704967641 is the 10134629-th square number.

102710704967641 is the 5067315-th centered octagonal number.

It is an amenable number.

102710704967641 is a deficient number, since it is larger than the sum of its proper divisors (745660889372).

102710704967641 is an frugal number, since it uses more digits than its factorization.

102710704967641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146100 (or 73050 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 55.

The spelling of 102710704967641 in words is "one hundred two trillion, seven hundred ten billion, seven hundred four million, nine hundred sixty-seven thousand, six hundred forty-one".