205312100 has 144 divisors (see below), whose sum is σ = 549964800. Its totient is φ = 64955520.

The previous prime is 205312097. The next prime is 205312103. The reversal of 205312100 is 1213502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (205312097) and next prime (205312103).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (205312103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 571721 + ... + 572079.

It is an arithmetic number, because the mean of its divisors is an integer number (3819200).

Almost surely, 2^205312100 is an apocalyptic number.

205312100 is a gapful number since it is divisible by the number (20) 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 205312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274982400).

205312100 is an abundant number, since it is smaller than the sum of its proper divisors (344652700).

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

205312100 is a wasteful number, since it uses less digits than its factorization.

205312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 205312100 is about 14328.7159229290. The cubic root of 205312100 is about 589.9359309918.

Adding to 205312100 its reverse (1213502), we get a palindrome (206525602).

The spelling of 205312100 in words is "two hundred five million, three hundred twelve thousand, one hundred".