102705229607721 has 16 divisors (see below), whose sum is σ = 147475048439040. Its totient is φ = 63202844252160.

The previous prime is 102705229607689. The next prime is 102705229607759. The reversal of 102705229607721 is 127706922507201.

It is not a de Polignac number, because 102705229607721 - 2⁵ = 102705229607689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102705229607221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1041201 + ... + 14369918.

It is an arithmetic number, because the mean of its divisors is an integer number (9217190527440).

Almost surely, 2^{102705229607721} is an apocalyptic number.

It is an amenable number.

102705229607721 is a deficient number, since it is larger than the sum of its proper divisors (44769818831319).

102705229607721 is a wasteful number, since it uses less digits than its factorization.

102705229607721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15582016.

The product of its (nonzero) digits is 1481760, while the sum is 51.

The spelling of 102705229607721 in words is "one hundred two trillion, seven hundred five billion, two hundred twenty-nine million, six hundred seven thousand, seven hundred twenty-one".