102112329 has 16 divisors (see below), whose sum is σ = 149480640. Its totient is φ = 61488960.

The previous prime is 102112321. The next prime is 102112331. The reversal of 102112329 is 923211201.

It is not a de Polignac number, because 102112329 - 2³ = 102112321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102112321) 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 15 ways as a sum of consecutive naturals, for example, 4674 + ... + 15035.

It is an arithmetic number, because the mean of its divisors is an integer number (9342540).

Almost surely, 2^102112329 is an apocalyptic number.

It is an amenable number.

102112329 is a deficient number, since it is larger than the sum of its proper divisors (47368311).

102112329 is a wasteful number, since it uses less digits than its factorization.

102112329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19880.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 102112329 is about 10105.0645223076. The cubic root of 102112329 is about 467.4043256034.

The spelling of 102112329 in words is "one hundred two million, one hundred twelve thousand, three hundred twenty-nine".