102065 has 8 divisors (see below), whose sum is σ = 124200. Its totient is φ = 80512.

The previous prime is 102061. The next prime is 102071. The reversal of 102065 is 560201.

It can be written as a sum of positive squares in 4 ways, for example, as 2209 + 99856 = 47^2 + 316^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102065 - 2² = 102061 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102065.

It is not an unprimeable number, because it can be changed into a prime (102061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 611 + ... + 759.

It is an arithmetic number, because the mean of its divisors is an integer number (15525).

2¹⁰²⁰⁶⁵ is an apocalyptic number.

It is an amenable number.

102065 is a deficient number, since it is larger than the sum of its proper divisors (22135).

102065 is a wasteful number, since it uses less digits than its factorization.

102065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 102065 is about 319.4761336939. The cubic root of 102065 is about 46.7332100574.

Adding to 102065 its reverse (560201), we get a palindrome (662266).

The spelling of 102065 in words is "one hundred two thousand, sixty-five".