100443240 has 160 divisors (see below), whose sum is σ = 349569000. Its totient is φ = 25837056.

The previous prime is 100443229. The next prime is 100443241. The reversal of 100443240 is 42344001.

It can be written as a sum of positive squares in 4 ways, for example, as 80030916 + 20412324 = 8946^2 + 4518^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100443241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 93426 + ... + 94494.

Almost surely, 2^100443240 is an apocalyptic number.

100443240 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 100443240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174784500).

100443240 is an abundant number, since it is smaller than the sum of its proper divisors (249125760).

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

100443240 is a wasteful number, since it uses less digits than its factorization.

100443240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 100443240 is about 10022.1374965623. The cubic root of 100443240 is about 464.8436519111.

Adding to 100443240 its reverse (42344001), we get a palindrome (142787241).

It can be divided in two parts, 1004 and 43240, that added together give a palindrome (44244).

The spelling of 100443240 in words is "one hundred million, four hundred forty-three thousand, two hundred forty".