66011100 has 72 divisors (see below), whose sum is σ = 192487680. Its totient is φ = 17465280.

The previous prime is 66011093. The next prime is 66011123. The reversal of 66011100 is 111066.

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 66011100.

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, 40909 + ... + 42491.

It is an arithmetic number, because the mean of its divisors is an integer number (2673440).

Almost surely, 2^66011100 is an apocalyptic number.

66011100 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 66011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96243840).

66011100 is an abundant number, since it is smaller than the sum of its proper divisors (126476580).

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

66011100 is a wasteful number, since it uses less digits than its factorization.

66011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 66011100 is about 8124.7215336896. The cubic root of 66011100 is about 404.1466562287.

Adding to 66011100 its reverse (111066), we get a palindrome (66122166).

It can be divided in two parts, 6 and 6011100, that added together give a palindrome (6011106).

The spelling of 66011100 in words is "sixty-six million, eleven thousand, one hundred".