102825220 has 48 divisors (see below), whose sum is σ = 223005888. Its totient is φ = 39795840.

The previous prime is 102825211. The next prime is 102825223. The reversal of 102825220 is 22528201.

It is a junction number, because it is equal to n+sod(n) for n = 102825191 and 102825200.

It is not an unprimeable number, because it can be changed into a prime (102825223) 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 15 ways as a sum of consecutive naturals, for example, 209175 + ... + 209665.

It is an arithmetic number, because the mean of its divisors is an integer number (4645956).

Almost surely, 2^102825220 is an apocalyptic number.

102825220 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 102825220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111502944).

102825220 is an abundant number, since it is smaller than the sum of its proper divisors (120180668).

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

102825220 is a wasteful number, since it uses less digits than its factorization.

102825220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 102825220 is about 10140.2771165289. The cubic root of 102825220 is about 468.4895223646.

The spelling of 102825220 in words is "one hundred two million, eight hundred twenty-five thousand, two hundred twenty".