102005364 has 12 divisors (see below), whose sum is σ = 238012544. Its totient is φ = 34001784.

The previous prime is 102005363. The next prime is 102005381. The reversal of 102005364 is 463500201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 102005364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102005363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4250212 + ... + 4250235.

Almost surely, 2^102005364 is an apocalyptic number.

It is an amenable number.

102005364 is an abundant number, since it is smaller than the sum of its proper divisors (136007180).

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

102005364 is a wasteful number, since it uses less digits than its factorization.

102005364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8500454 (or 8500452 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 102005364 is about 10099.7704924419. The cubic root of 102005364 is about 467.2410630094.

Adding to 102005364 its reverse (463500201), we get a palindrome (565505565).

The spelling of 102005364 in words is "one hundred two million, five thousand, three hundred sixty-four".