66146100 has 72 divisors (see below), whose sum is σ = 198008160. Its totient is φ = 17028480.

The previous prime is 66146063. The next prime is 66146107. The reversal of 66146100 is 164166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66146107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4899 + ... + 12501.

Almost surely, 2^66146100 is an apocalyptic number.

66146100 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 66146100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99004080).

66146100 is an abundant number, since it is smaller than the sum of its proper divisors (131862060).

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

66146100 is a wasteful number, since it uses less digits than its factorization.

66146100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7649 (or 7642 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 66146100 is about 8133.0252673897. The cubic root of 66146100 is about 404.4219768298.

The spelling of 66146100 in words is "sixty-six million, one hundred forty-six thousand, one hundred".