268782100 has 18 divisors (see below), whose sum is σ = 583257374. Its totient is φ = 107512800.

The previous prime is 268782077. The next prime is 268782127. The reversal of 268782100 is 1287862.

It can be written as a sum of positive squares in 3 ways, for example, as 19963024 + 248819076 = 4468^2 + 15774^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1343811 + ... + 1344010.

Almost surely, 2^268782100 is an apocalyptic number.

268782100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268782100 is an abundant number, since it is smaller than the sum of its proper divisors (314475274).

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

268782100 is a wasteful number, since it uses less digits than its factorization.

268782100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687835 (or 2687828 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 268782100 is about 16394.5753223437. The cubic root of 268782100 is about 645.3571325101.

The spelling of 268782100 in words is "two hundred sixty-eight million, seven hundred eighty-two thousand, one hundred".