100403380224 has 540 divisors, whose sum is σ = 350752052574. Its totient is φ = 28538044416.

The previous prime is 100403380193. The next prime is 100403380229. The reversal of 100403380224 is 422083304001.

100403380224 is a `hidden beast` number, since 1 + 0 + 0 + 403 + 38 + 0 + 224 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93900570624 + 6502809600 = 306432^2 + 80640^2 .

It is a super-2 number, since 2×100403380224² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100403380229) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 520224672 + ... + 520224864.

Almost surely, 2^100403380224 is an apocalyptic number.

100403380224 is a gapful number since it is divisible by the number (14) 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 100403380224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175376026287).

100403380224 is an abundant number, since it is smaller than the sum of its proper divisors (250348672350).

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

100403380224 is an frugal number, since it uses more digits than its factorization.

100403380224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 100403380224 its reverse (422083304001), we get a palindrome (522486684225).

The spelling of 100403380224 in words is "one hundred billion, four hundred three million, three hundred eighty thousand, two hundred twenty-four".