36660100 has 36 divisors (see below), whose sum is σ = 81065124. Its totient is φ = 14385280.

The previous prime is 36660097. The next prime is 36660121. The reversal of 36660100 is 106663.

It can be written as a sum of positive squares in 6 ways, for example, as 81796 + 36578304 = 286^2 + 6048^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1842 + ... + 8758.

It is an arithmetic number, because the mean of its divisors is an integer number (2251809).

Almost surely, 2^36660100 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 36660100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40532562).

36660100 is an abundant number, since it is smaller than the sum of its proper divisors (44405024).

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

36660100 is a wasteful number, since it uses less digits than its factorization.

36660100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6984 (or 6977 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 36660100 is about 6054.7584592616. The cubic root of 36660100 is about 332.1986641825.

Adding to 36660100 its reverse (106663), we get a palindrome (36766763).

The spelling of 36660100 in words is "thirty-six million, six hundred sixty thousand, one hundred".