66506100 has 72 divisors (see below), whose sum is σ = 197154048. Its totient is φ = 17299200.

The previous prime is 66506093. The next prime is 66506101. The reversal of 66506100 is 160566.

It is a super-2 number, since 2×66506100² = 8846122674420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66506101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9597 + ... + 15003.

Almost surely, 2^66506100 is an apocalyptic number.

66506100 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 66506100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98577024).

66506100 is an abundant number, since it is smaller than the sum of its proper divisors (130647948).

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

66506100 is a wasteful number, since it uses less digits than its factorization.

66506100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5465 (or 5458 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 66506100 is about 8155.1272215705. The cubic root of 66506100 is about 405.1543383724.

Adding to 66506100 its reverse (160566), we get a palindrome (66666666).

The spelling of 66506100 in words is "sixty-six million, five hundred six thousand, one hundred".