266016100 has 81 divisors (see below), whose sum is σ = 674394987. Its totient is φ = 90814080.

The previous prime is 266016089. The next prime is 266016133. The reversal of 266016100 is 1610662.

The square root of 266016100 is 16310.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 52388644 + 213627456 = 7238^2 + 14616^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1141584 + ... + 1141816.

Almost surely, 2^266016100 is an apocalyptic number.

266016100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

266016100 is the 16310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266016100

266016100 is an abundant number, since it is smaller than the sum of its proper divisors (408378887).

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

266016100 is a wasteful number, since it uses less digits than its factorization.

266016100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The cubic root of 266016100 is about 643.1357341599.

Adding to 266016100 its reverse (1610662), we get a palindrome (267626762).

The spelling of 266016100 in words is "two hundred sixty-six million, sixteen thousand, one hundred".