100240256 has 64 divisors (see below), whose sum is σ = 211507200. Its totient is φ = 47224320.

The previous prime is 100240201. The next prime is 100240271. The reversal of 100240256 is 652042001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232361 + ... + 232791.

It is an arithmetic number, because the mean of its divisors is an integer number (3304800).

Almost surely, 2^100240256 is an apocalyptic number.

100240256 is a gapful number since it is divisible by the number (16) 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 100240256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105753600).

100240256 is an abundant number, since it is smaller than the sum of its proper divisors (111266944).

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

100240256 is an equidigital number, since it uses as much as digits as its factorization.

100240256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 100240256 is about 10012.0055932865. The cubic root of 100240256 is about 464.5303092512.

Adding to 100240256 its reverse (652042001), we get a palindrome (752282257).

The spelling of 100240256 in words is "one hundred million, two hundred forty thousand, two hundred fifty-six".