100200440 has 64 divisors (see below), whose sum is σ = 234748800. Its totient is φ = 38458368.

The previous prime is 100200439. The next prime is 100200461. The reversal of 100200440 is 44002001.

100200440 = 2495² + 2496² + ... + 2510².

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116492 + ... + 117348.

It is an arithmetic number, because the mean of its divisors is an integer number (3667950).

Almost surely, 2^100200440 is an apocalyptic number.

100200440 is a gapful number since it is divisible by the number (10) 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 100200440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117374400).

100200440 is an abundant number, since it is smaller than the sum of its proper divisors (134548360).

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

100200440 is a wasteful number, since it uses less digits than its factorization.

100200440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 100200440 is about 10010.0169830026. The cubic root of 100200440 is about 464.4687964121.

Adding to 100200440 its reverse (44002001), we get a palindrome (144202441).

The spelling of 100200440 in words is "one hundred million, two hundred thousand, four hundred forty".