202116109 has 16 divisors (see below), whose sum is σ = 226119600. Its totient is φ = 179375616.

The previous prime is 202116071. The next prime is 202116113. The reversal of 202116109 is 901611202.

It can be written as a sum of positive squares in 8 ways, for example, as 20675209 + 181440900 = 4547^2 + 13470^2 .

It is a cyclic number.

It is not a de Polignac number, because 202116109 - 2¹⁵ = 202083341 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 202116109.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202111109) 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, 100417 + ... + 102409.

It is an arithmetic number, because the mean of its divisors is an integer number (14132475).

Almost surely, 2^202116109 is an apocalyptic number.

202116109 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

202116109 is a deficient number, since it is larger than the sum of its proper divisors (24003491).

202116109 is a wasteful number, since it uses less digits than its factorization.

202116109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304.

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 202116109 is about 14216.7545171182. The cubic root of 202116109 is about 586.8588293468.

The spelling of 202116109 in words is "two hundred two million, one hundred sixteen thousand, one hundred nine".