205710030 has 80 divisors (see below), whose sum is σ = 585707760. Its totient is φ = 51625728.

The previous prime is 205710007. The next prime is 205710031. The reversal of 205710030 is 30017502.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 205709985 and 205710012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205710031) 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 39 ways as a sum of consecutive naturals, for example, 6301 + ... + 21239.

It is an arithmetic number, because the mean of its divisors is an integer number (7321347).

Almost surely, 2^205710030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205710030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292853880).

205710030 is an abundant number, since it is smaller than the sum of its proper divisors (379997730).

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

205710030 is a wasteful number, since it uses less digits than its factorization.

205710030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14975 (or 14966 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 205710030 is about 14342.5949534943. The cubic root of 205710030 is about 590.3168173012.

Adding to 205710030 its reverse (30017502), we get a palindrome (235727532).

The spelling of 205710030 in words is "two hundred five million, seven hundred ten thousand, thirty".