102112065 has 48 divisors (see below), whose sum is σ = 201502080. Its totient is φ = 47351040.

The previous prime is 102112063. The next prime is 102112121. The reversal of 102112065 is 560211201.

It is not a de Polignac number, because 102112065 - 2¹ = 102112063 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102112063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6901 + ... + 15869.

It is an arithmetic number, because the mean of its divisors is an integer number (4197960).

Almost surely, 2^102112065 is an apocalyptic number.

102112065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102112065 is a deficient number, since it is larger than the sum of its proper divisors (99390015).

102112065 is a wasteful number, since it uses less digits than its factorization.

102112065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9014 (or 9011 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 102112065 is about 10105.0514595424. The cubic root of 102112065 is about 467.4039227958.

Adding to 102112065 its reverse (560211201), we get a palindrome (662323266).

The spelling of 102112065 in words is "one hundred two million, one hundred twelve thousand, sixty-five".