266630100 has 144 divisors (see below), whose sum is σ = 861611520. Its totient is φ = 63100800.

The previous prime is 266630071. The next prime is 266630123. The reversal of 266630100 is 1036662.

It is a super-2 number, since 2×266630100² = 142183220452020000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 140961 + ... + 142839.

Almost surely, 2^266630100 is an apocalyptic number.

266630100 is a gapful number since it is divisible by the number (20) 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 266630100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430805760).

266630100 is an abundant number, since it is smaller than the sum of its proper divisors (594981420).

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

266630100 is a wasteful number, since it uses less digits than its factorization.

266630100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 266630100 is about 16328.8119592333. The cubic root of 266630100 is about 643.6301677851.

Adding to 266630100 its reverse (1036662), we get a palindrome (267666762).

The spelling of 266630100 in words is "two hundred sixty-six million, six hundred thirty thousand, one hundred".