36100160 has 56 divisors (see below), whose sum is σ = 88315800. Its totient is φ = 14045184.

The previous prime is 36100159. The next prime is 36100187. The reversal of 36100160 is 6100163.

It can be written as a sum of positive squares in 4 ways, for example, as 3655744 + 32444416 = 1912^2 + 5696^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10316 + ... + 13364.

Almost surely, 2^36100160 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 36100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44157900).

36100160 is an abundant number, since it is smaller than the sum of its proper divisors (52215640).

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

36100160 is a wasteful number, since it uses less digits than its factorization.

36100160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 36100160 is about 6008.3408691585. The cubic root of 36100160 is about 330.4986645129.

The spelling of 36100160 in words is "thirty-six million, one hundred thousand, one hundred sixty".