36000100 has 36 divisors (see below), whose sum is σ = 78652084. Its totient is φ = 14302080.

The previous prime is 36000071. The next prime is 36000109. The reversal of 36000100 is 100063.

It can be written as a sum of positive squares in 6 ways, for example, as 4393216 + 31606884 = 2096^2 + 5622^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36000109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14554 + ... + 16846.

Almost surely, 2^36000100 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 36000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39326042).

36000100 is an abundant number, since it is smaller than the sum of its proper divisors (42651984).

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

36000100 is a wasteful number, since it uses less digits than its factorization.

36000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 36000100 is about 6000.0083333275. The cubic root of 36000100 is about 330.1930306232.

Adding to 36000100 its reverse (100063), we get a palindrome (36100163).

It can be divided in two parts, 36000 and 100, that added together give a square (36100 = 190²).

The spelling of 36000100 in words is "thirty-six million, one hundred", and thus it is an aban number.