36105696 has 192 divisors, whose sum is σ = 119750400. Its totient is φ = 10483200.

The previous prime is 36105691. The next prime is 36105703. The reversal of 36105696 is 69650163.

36105696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 36105696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36105691) 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 31 ways as a sum of consecutive naturals, for example, 275551 + ... + 275681.

It is an arithmetic number, because the mean of its divisors is an integer number (623700).

Almost surely, 2^36105696 is an apocalyptic number.

36105696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36105696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59875200).

36105696 is an abundant number, since it is smaller than the sum of its proper divisors (83644704).

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

36105696 is a wasteful number, since it uses less digits than its factorization.

36105696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 36105696 is about 6008.8015444013. The cubic root of 36105696 is about 330.5155577630.

The spelling of 36105696 in words is "thirty-six million, one hundred five thousand, six hundred ninety-six".