102111165 has 64 divisors (see below), whose sum is σ = 198132480. Its totient is φ = 49593600.

The previous prime is 102111161. The next prime is 102111173. The reversal of 102111165 is 561111201.

It is a happy number.

It is not a de Polignac number, because 102111165 - 2² = 102111161 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 (102111161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145315 + ... + 146015.

It is an arithmetic number, because the mean of its divisors is an integer number (3095820).

Almost surely, 2^102111165 is an apocalyptic number.

102111165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102111165 is a deficient number, since it is larger than the sum of its proper divisors (96021315).

102111165 is a wasteful number, since it uses less digits than its factorization.

102111165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

The square root of 102111165 is about 10105.0069272614. The cubic root of 102111165 is about 467.4025495831.

Adding to 102111165 its reverse (561111201), we get a palindrome (663222366).

The spelling of 102111165 in words is "one hundred two million, one hundred eleven thousand, one hundred sixty-five".