100005440 has 28 divisors (see below), whose sum is σ = 238138716. Its totient is φ = 40002048.

The previous prime is 100005439. The next prime is 100005443. The reversal of 100005440 is 44500001.

It can be written as a sum of positive squares in 2 ways, for example, as 79138816 + 20866624 = 8896^2 + 4568^2 .

It is not an unprimeable number, because it can be changed into a prime (100005443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 155939 + ... + 156578.

Almost surely, 2^100005440 is an apocalyptic number.

100005440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100005440 is an abundant number, since it is smaller than the sum of its proper divisors (138133276).

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

100005440 is an equidigital number, since it uses as much as digits as its factorization.

100005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312534 (or 312524 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 100005440 is about 10000.2719963009. The cubic root of 100005440 is about 464.1672999564.

Adding to 100005440 its reverse (44500001), we get a palindrome (144505441).

The spelling of 100005440 in words is "one hundred million, five thousand, four hundred forty".