36209106 has 40 divisors (see below), whose sum is σ = 81975564. Its totient is φ = 11944800.

The previous prime is 36209093. The next prime is 36209111. The reversal of 36209106 is 60190263.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23184225 + 13024881 = 4815^2 + 3609^2 .

It is a super-2 number, since 2×36209106² = 2622198714638472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 36209106.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15256 + ... + 17468.

Almost surely, 2^36209106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36209106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40987782).

36209106 is an abundant number, since it is smaller than the sum of its proper divisors (45766458).

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

36209106 is a wasteful number, since it uses less digits than its factorization.

36209106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 36209106 is about 6017.4002692193. The cubic root of 36209106 is about 330.8307992088.

Adding to 36209106 its reverse (60190263), we get a palindrome (96399369).

It can be divided in two parts, 36209 and 106, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 36209106 in words is "thirty-six million, two hundred nine thousand, one hundred six".