102205260 has 96 divisors (see below), whose sum is σ = 324817920. Its totient is φ = 26668224.

The previous prime is 102205249. The next prime is 102205277. The reversal of 102205260 is 62502201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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, 23367 + ... + 27393.

It is an arithmetic number, because the mean of its divisors is an integer number (3383520).

Almost surely, 2^102205260 is an apocalyptic number.

102205260 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 102205260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162408960).

102205260 is an abundant number, since it is smaller than the sum of its proper divisors (222612660).

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

102205260 is a wasteful number, since it uses less digits than its factorization.

102205260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4092 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 102205260 is about 10109.6617154087. The cubic root of 102205260 is about 467.5460753200.

Adding to 102205260 its reverse (62502201), we get a palindrome (164707461).

The spelling of 102205260 in words is "one hundred two million, two hundred five thousand, two hundred sixty".