102820200 has 96 divisors (see below), whose sum is σ = 364292160. Its totient is φ = 23500800.

The previous prime is 102820177. The next prime is 102820213. The reversal of 102820200 is 2028201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102820200.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8041 + ... + 16440.

It is an arithmetic number, because the mean of its divisors is an integer number (3794710).

Almost surely, 2^102820200 is an apocalyptic number.

102820200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102820200 is an abundant number, since it is smaller than the sum of its proper divisors (261471960).

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

102820200 is a wasteful number, since it uses less digits than its factorization.

102820200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24507 (or 24498 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 102820200 is about 10140.0295857557. The cubic root of 102820200 is about 468.4818982439.

Adding to 102820200 its reverse (2028201), we get a palindrome (104848401).

The spelling of 102820200 in words is "one hundred two million, eight hundred twenty thousand, two hundred".