36105036 has 48 divisors (see below), whose sum is σ = 94055808. Its totient is φ = 10684800.

The previous prime is 36105019. The next prime is 36105037. The reversal of 36105036 is 63050163.

36105036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36105036² = 2607147249122592, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 36104997 and 36105015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36105037) 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 15 ways as a sum of consecutive naturals, for example, 2496 + ... + 8856.

It is an arithmetic number, because the mean of its divisors is an integer number (1959496).

Almost surely, 2^36105036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36105036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47027904).

36105036 is an abundant number, since it is smaller than the sum of its proper divisors (57950772).

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

36105036 is a wasteful number, since it uses less digits than its factorization.

36105036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6422 (or 6420 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 36105036 is about 6008.7466247130. The cubic root of 36105036 is about 330.5135438462.

Adding to 36105036 its reverse (63050163), we get a palindrome (99155199).

It can be divided in two parts, 3610 and 5036, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 36105036 in words is "thirty-six million, one hundred five thousand, thirty-six".