66542100 has 36 divisors (see below), whose sum is σ = 192529344. Its totient is φ = 17744480.

The previous prime is 66542093. The next prime is 66542101. The reversal of 66542100 is 124566.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66542101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110604 + ... + 111203.

Almost surely, 2^66542100 is an apocalyptic number.

66542100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66542100 is an abundant number, since it is smaller than the sum of its proper divisors (125987244).

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

66542100 is a wasteful number, since it uses less digits than its factorization.

66542100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221824 (or 221817 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 66542100 is about 8157.3341233518. The cubic root of 66542100 is about 405.2274290375.

Adding to 66542100 its reverse (124566), we get a palindrome (66666666).

The spelling of 66542100 in words is "sixty-six million, five hundred forty-two thousand, one hundred".