102105344 has 72 divisors (see below), whose sum is σ = 225167040. Its totient is φ = 45824000.

The previous prime is 102105323. The next prime is 102105361. The reversal of 102105344 is 443501201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284237 + ... + 284595.

It is an arithmetic number, because the mean of its divisors is an integer number (3127320).

Almost surely, 2^102105344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102105344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112583520).

102105344 is an abundant number, since it is smaller than the sum of its proper divisors (123061696).

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

102105344 is a wasteful number, since it uses less digits than its factorization.

102105344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 102105344 is about 10104.7188976240. The cubic root of 102105344 is about 467.3936677534.

Adding to 102105344 its reverse (443501201), we get a palindrome (545606545).

The spelling of 102105344 in words is "one hundred two million, one hundred five thousand, three hundred forty-four".