205209102 has 32 divisors (see below), whose sum is σ = 470310912. Its totient is φ = 58473504.

The previous prime is 205209089. The next prime is 205209107. The reversal of 205209102 is 201902502.

It is a super-2 number, since 2×205209102² = 84221551087292808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205209107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9708 + ... + 22464.

It is an arithmetic number, because the mean of its divisors is an integer number (14697216).

Almost surely, 2^205209102 is an apocalyptic number.

205209102 is an abundant number, since it is smaller than the sum of its proper divisors (265101810).

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

205209102 is a wasteful number, since it uses less digits than its factorization.

205209102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13152.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 205209102 is about 14325.1213607425. The cubic root of 205209102 is about 589.8372643202.

The spelling of 205209102 in words is "two hundred five million, two hundred nine thousand, one hundred two".