100443432240 has 160 divisors (see below), whose sum is σ = 346184360640. Its totient is φ = 26768461824.

The previous prime is 100443432217. The next prime is 100443432269. The reversal of 100443432240 is 42234344001.

It is a happy number.

100443432240 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 434 + 3 + 224 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3729864 + ... + 3756696.

It is an arithmetic number, because the mean of its divisors is an integer number (2163652254).

Almost surely, 2^100443432240 is an apocalyptic number.

100443432240 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 100443432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173092180320).

100443432240 is an abundant number, since it is smaller than the sum of its proper divisors (245740928400).

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

100443432240 is a wasteful number, since it uses less digits than its factorization.

100443432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28588 (or 28576 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 100443432240 its reverse (42234344001), we get a palindrome (142677776241).

The spelling of 100443432240 in words is "one hundred billion, four hundred forty-three million, four hundred thirty-two thousand, two hundred forty".