66700100 has 36 divisors (see below), whose sum is σ = 146738004. Its totient is φ = 26311680.

The previous prime is 66700079. The next prime is 66700121. The reversal of 66700100 is 100766.

It is an interprime number because it is at equal distance from previous prime (66700079) and next prime (66700121).

It can be written as a sum of positive squares in 6 ways, for example, as 12559936 + 54140164 = 3544^2 + 7358^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2732 + ... + 11868.

Almost surely, 2^66700100 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 66700100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73369002).

66700100 is an abundant number, since it is smaller than the sum of its proper divisors (80037904).

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

66700100 is a wasteful number, since it uses less digits than its factorization.

66700100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9224 (or 9217 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 66700100 is about 8167.0129178299. The cubic root of 66700100 is about 405.5479044726.

Adding to 66700100 its reverse (100766), we get a palindrome (66800866).

The spelling of 66700100 in words is "sixty-six million, seven hundred thousand, one hundred".