102065165105 has 16 divisors (see below), whose sum is σ = 129134809920. Its totient is φ = 77228417088.

The previous prime is 102065165011. The next prime is 102065165117. The reversal of 102065165105 is 501561560201.

It is a cyclic number.

It is not a de Polignac number, because 102065165105 - 2¹⁶ = 102065099569 is a prime.

It is a super-2 number, since 2×102065165105² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 818087 + ... + 934556.

It is an arithmetic number, because the mean of its divisors is an integer number (8070925620).

Almost surely, 2^102065165105 is an apocalyptic number.

It is an amenable number.

102065165105 is a deficient number, since it is larger than the sum of its proper divisors (27069644815).

102065165105 is a wasteful number, since it uses less digits than its factorization.

102065165105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753280.

The product of its (nonzero) digits is 9000, while the sum is 32.

The spelling of 102065165105 in words is "one hundred two billion, sixty-five million, one hundred sixty-five thousand, one hundred five".