102005644 has 96 divisors (see below), whose sum is σ = 220993920. Its totient is φ = 40685568.

The previous prime is 102005641. The next prime is 102005653. The reversal of 102005644 is 446500201.

It is not an unprimeable number, because it can be changed into a prime (102005641) 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 31 ways as a sum of consecutive naturals, for example, 589542 + ... + 589714.

It is an arithmetic number, because the mean of its divisors is an integer number (2302020).

Almost surely, 2^102005644 is an apocalyptic number.

It is an amenable number.

102005644 is an abundant number, since it is smaller than the sum of its proper divisors (118988276).

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

102005644 is a wasteful number, since it uses less digits than its factorization.

102005644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 102005644 is about 10099.7843541335. The cubic root of 102005644 is about 467.2414905273.

Adding to 102005644 its reverse (446500201), we get a palindrome (548505845).

It can be divided in two parts, 1020056 and 44, that added together give a square (1020100 = 1010²).

The spelling of 102005644 in words is "one hundred two million, five thousand, six hundred forty-four".