102205120 has 28 divisors (see below), whose sum is σ = 243376704. Its totient is φ = 40881920.

The previous prime is 102205111. The next prime is 102205127. The reversal of 102205120 is 21502201.

It is a self number, because there is not a number n which added to its sum of digits gives 102205120.

It is not an unprimeable number, because it can be changed into a prime (102205127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 159376 + ... + 160015.

Almost surely, 2^102205120 is an apocalyptic number.

102205120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102205120 is an abundant number, since it is smaller than the sum of its proper divisors (141171584).

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

102205120 is an equidigital number, since it uses as much as digits as its factorization.

102205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319408 (or 319398 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 102205120 is about 10109.6547913368. The cubic root of 102205120 is about 467.5458618396.

Adding to 102205120 its reverse (21502201), we get a palindrome (123707321).

The spelling of 102205120 in words is "one hundred two million, two hundred five thousand, one hundred twenty".