200105310 has 64 divisors (see below), whose sum is σ = 500797440. Its totient is φ = 51114240.

The previous prime is 200105309. The next prime is 200105327. The reversal of 200105310 is 13501002.

It is a super-2 number, since 2×200105310² = 80084270180392200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94746 + ... + 96834.

It is an arithmetic number, because the mean of its divisors is an integer number (7824960).

Almost surely, 2^200105310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200105310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250398720).

200105310 is an abundant number, since it is smaller than the sum of its proper divisors (300692130).

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

200105310 is a wasteful number, since it uses less digits than its factorization.

200105310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 200105310 is about 14145.8584044942. The cubic root of 200105310 is about 584.9061724017.

Adding to 200105310 its reverse (13501002), we get a palindrome (213606312).

The spelling of 200105310 in words is "two hundred million, one hundred five thousand, three hundred ten".