36105216 has 176 divisors, whose sum is σ = 116335104. Its totient is φ = 9732096.

The previous prime is 36105197. The next prime is 36105217. The reversal of 36105216 is 61250163.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (36105217) 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, 494556 + ... + 494628.

Almost surely, 2^36105216 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 36105216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58167552).

36105216 is an abundant number, since it is smaller than the sum of its proper divisors (80229888).

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

36105216 is a wasteful number, since it uses less digits than its factorization.

36105216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 36105216 is about 6008.7616028596. The cubic root of 36105216 is about 330.5140930987.

Adding to 36105216 its reverse (61250163), we get a palindrome (97355379).

The spelling of 36105216 in words is "thirty-six million, one hundred five thousand, two hundred sixteen".