36312100 has 54 divisors (see below), whose sum is σ = 86640722. Its totient is φ = 13200000.

The previous prime is 36312083. The next prime is 36312121. The reversal of 36312100 is 121363.

It can be written as a sum of positive squares in 3 ways, for example, as 2579236 + 33732864 = 1606^2 + 5808^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10600 + ... + 13600.

Almost surely, 2^36312100 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 36312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43320361).

36312100 is an abundant number, since it is smaller than the sum of its proper divisors (50328622).

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

36312100 is a wasteful number, since it uses less digits than its factorization.

36312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3037 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 36312100 is about 6025.9522069130. The cubic root of 36312100 is about 331.1441764729.

Adding to 36312100 its reverse (121363), we get a palindrome (36433463).

The spelling of 36312100 in words is "thirty-six million, three hundred twelve thousand, one hundred".