102200280 has 256 divisors, whose sum is σ = 387072000. Its totient is φ = 21450240.

The previous prime is 102200279. The next prime is 102200303. The reversal of 102200280 is 82002201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 534985 + ... + 535175.

It is an arithmetic number, because the mean of its divisors is an integer number (1512000).

Almost surely, 2^102200280 is an apocalyptic number.

102200280 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 102200280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536000).

102200280 is an abundant number, since it is smaller than the sum of its proper divisors (284871720).

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

102200280 is a wasteful number, since it uses less digits than its factorization.

102200280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 221 counting only the distinct ones).

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

The square root of 102200280 is about 10109.4154133659. The cubic root of 102200280 is about 467.5384813949.

Adding to 102200280 its reverse (82002201), we get a palindrome (184202481).

The spelling of 102200280 in words is "one hundred two million, two hundred thousand, two hundred eighty".