102364329 has 32 divisors (see below), whose sum is σ = 146534400. Its totient is φ = 63423360.

The previous prime is 102364319. The next prime is 102364333. The reversal of 102364329 is 923463201.

It is not a de Polignac number, because 102364329 - 2⁴ = 102364313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102364296 and 102364305.

It is not an unprimeable number, because it can be changed into a prime (102364309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 485034 + ... + 485244.

It is an arithmetic number, because the mean of its divisors is an integer number (4579200).

Almost surely, 2^102364329 is an apocalyptic number.

It is an amenable number.

102364329 is a deficient number, since it is larger than the sum of its proper divisors (44170071).

102364329 is a wasteful number, since it uses less digits than its factorization.

102364329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405.

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 102364329 is about 10117.5258339181. The cubic root of 102364329 is about 467.7885075149.

The spelling of 102364329 in words is "one hundred two million, three hundred sixty-four thousand, three hundred twenty-nine".