102561165 has 72 divisors (see below), whose sum is σ = 208730808. Its totient is φ = 46448640.

The previous prime is 102561143. The next prime is 102561167. The reversal of 102561165 is 561165201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10055241 + 92505924 = 3171^2 + 9618^2 .

It is not a de Polignac number, because 102561165 - 2⁷ = 102561037 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102561167) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 425445 + ... + 425685.

It is an arithmetic number, because the mean of its divisors is an integer number (2899039).

Almost surely, 2^102561165 is an apocalyptic number.

102561165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102561165 is an abundant number, since it is smaller than the sum of its proper divisors (106169643).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102561165 is a wasteful number, since it uses less digits than its factorization.

102561165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 102561165 is about 10127.2486391912. The cubic root of 102561165 is about 468.0881518147.

The spelling of 102561165 in words is "one hundred two million, five hundred sixty-one thousand, one hundred sixty-five".