66101100 has 144 divisors (see below), whose sum is σ = 218298528. Its totient is φ = 15298560.

The previous prime is 66101059. The next prime is 66101107. The reversal of 66101100 is 110166.

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 66101100.

It is not an unprimeable number, because it can be changed into a prime (66101107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65802 + ... + 66798.

It is an arithmetic number, because the mean of its divisors is an integer number (1515962).

Almost surely, 2^66101100 is an apocalyptic number.

66101100 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 66101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109149264).

66101100 is an abundant number, since it is smaller than the sum of its proper divisors (152197428).

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

66101100 is a wasteful number, since it uses less digits than its factorization.

66101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1037 counting only the distinct ones).

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

The square root of 66101100 is about 8130.2582984798. The cubic root of 66101100 is about 404.3302449539.

Adding to 66101100 its reverse (110166), we get a palindrome (66211266).

The spelling of 66101100 in words is "sixty-six million, one hundred one thousand, one hundred".