100450443100 has 72 divisors (see below), whose sum is σ = 249534028800. Its totient is φ = 34382512320.

The previous prime is 100450443073. The next prime is 100450443103. The reversal of 100450443100 is 1344054001.

It is a super-2 number, since 2×100450443100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100450443103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 299517 + ... + 539083.

It is an arithmetic number, because the mean of its divisors is an integer number (3465750400).

Almost surely, 2^100450443100 is an apocalyptic number.

100450443100 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 100450443100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124767014400).

100450443100 is an abundant number, since it is smaller than the sum of its proper divisors (149083585700).

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

100450443100 is a wasteful number, since it uses less digits than its factorization.

100450443100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240187 (or 240180 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 100450443100 its reverse (1344054001), we get a palindrome (101794497101).

The spelling of 100450443100 in words is "one hundred billion, four hundred fifty million, four hundred forty-three thousand, one hundred".