205740106 has 32 divisors (see below), whose sum is σ = 378338688. Its totient is φ = 82568640.

The previous prime is 205740071. The next prime is 205740107. The reversal of 205740106 is 601047502.

It is a super-3 number, since 3×205740106³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (205740107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9061 + ... + 22216.

It is an arithmetic number, because the mean of its divisors is an integer number (11823084).

Almost surely, 2^205740106 is an apocalyptic number.

205740106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

205740106 is a deficient number, since it is larger than the sum of its proper divisors (172598582).

205740106 is a wasteful number, since it uses less digits than its factorization.

205740106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31326.

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 205740106 is about 14343.6434004753. The cubic root of 205740106 is about 590.3455851472.

Adding to 205740106 its reverse (601047502), we get a palindrome (806787608).

The spelling of 205740106 in words is "two hundred five million, seven hundred forty thousand, one hundred six".