1830105200 has 120 divisors (see below), whose sum is σ = 5481851520. Its totient is φ = 570412800.

The previous prime is 1830105187. The next prime is 1830105203. The reversal of 1830105200 is 25010381.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830105203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1091 + ... + 60509.

It is an arithmetic number, because the mean of its divisors is an integer number (45682096).

Almost surely, 2^1830105200 is an apocalyptic number.

1830105200 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 1830105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740925760).

1830105200 is an abundant number, since it is smaller than the sum of its proper divisors (3651746320).

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

1830105200 is a wasteful number, since it uses less digits than its factorization.

1830105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59455 (or 59444 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1830105200 is about 42779.7288443954. The cubic root of 1830105200 is about 1223.1846385970.

Adding to 1830105200 its reverse (25010381), we get a palindrome (1855115581).

The spelling of 1830105200 in words is "one billion, eight hundred thirty million, one hundred five thousand, two hundred".