66020100 has 72 divisors (see below), whose sum is σ = 191862720. Its totient is φ = 17527680.

The previous prime is 66020081. The next prime is 66020147. The reversal of 66020100 is 102066.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 66020100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107394 + ... + 108006.

It is an arithmetic number, because the mean of its divisors is an integer number (2664760).

Almost surely, 2^66020100 is an apocalyptic number.

66020100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95931360).

66020100 is an abundant number, since it is smaller than the sum of its proper divisors (125842620).

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

66020100 is a wasteful number, since it uses less digits than its factorization.

66020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 66020100 is about 8125.2753799487. The cubic root of 66020100 is about 404.1650226076.

Adding to 66020100 its reverse (102066), we get a palindrome (66122166).

The spelling of 66020100 in words is "sixty-six million, twenty thousand, one hundred".