66100 has 18 divisors (see below), whose sum is σ = 143654. Its totient is φ = 26400.

The previous prime is 66089. The next prime is 66103. The reversal of 66100 is 166.

It can be written as a sum of positive squares in 3 ways, for example, as 10404 + 55696 = 102^2 + 236^2 .

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 231 + ... + 430.

2⁶⁶¹⁰⁰ is an apocalyptic number.

It is an amenable number.

66100 is an abundant number, since it is smaller than the sum of its proper divisors (77554).

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

66100 is a wasteful number, since it uses less digits than its factorization.

66100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 66100 is about 257.0992026436. The cubic root of 66100 is about 40.4328002098.

Adding to 66100 its reverse (166), we get a palindrome (66266).

The spelling of 66100 in words is "sixty-six thousand, one hundred".