102105320 has 64 divisors (see below), whose sum is σ = 240883200. Its totient is φ = 38903040.

The previous prime is 102105301. The next prime is 102105323. The reversal of 102105320 is 23501201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102105295 and 102105304.

It is not an unprimeable number, because it can be changed into a prime (102105323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82466 + ... + 83694.

It is an arithmetic number, because the mean of its divisors is an integer number (3763800).

Almost surely, 2^102105320 is an apocalyptic number.

102105320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102105320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120441600).

102105320 is an abundant number, since it is smaller than the sum of its proper divisors (138777880).

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

102105320 is a wasteful number, since it uses less digits than its factorization.

102105320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 102105320 is about 10104.7177100600. The cubic root of 102105320 is about 467.3936311329.

Adding to 102105320 its reverse (23501201), we get a palindrome (125606521).

The spelling of 102105320 in words is "one hundred two million, one hundred five thousand, three hundred twenty".