84103200 has 108 divisors (see below), whose sum is σ = 296594298. Its totient is φ = 22425600.

The previous prime is 84103189. The next prime is 84103213. The reversal of 84103200 is 230148.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 62536464 + 21566736 = 7908^2 + 4644^2 .

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 (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1360 + ... + 13040.

Almost surely, 2^84103200 is an apocalyptic number.

84103200 is a gapful number since it is divisible by the number (80) 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 84103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148297149).

84103200 is an abundant number, since it is smaller than the sum of its proper divisors (212491098).

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

84103200 is a wasteful number, since it uses less digits than its factorization.

84103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11707 (or 11691 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 84103200 is about 9170.7796833203. The cubic root of 84103200 is about 438.1311923263.

Adding to 84103200 its reverse (230148), we get a palindrome (84333348).

The spelling of 84103200 in words is "eighty-four million, one hundred three thousand, two hundred".