100312433424 has 480 divisors, whose sum is σ = 341228160000. Its totient is φ = 27937239552.

The previous prime is 100312433423. The next prime is 100312433449. The reversal of 100312433424 is 424334213001.

100312433424 is a `hidden beast` number, since 1 + 0 + 0 + 312 + 4 + 3 + 342 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (100312433423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 287428002 + ... + 287428350.

It is an arithmetic number, because the mean of its divisors is an integer number (710892000).

Almost surely, 2^100312433424 is an apocalyptic number.

100312433424 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 100312433424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170614080000).

100312433424 is an abundant number, since it is smaller than the sum of its proper divisors (240915726576).

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

100312433424 is a wasteful number, since it uses less digits than its factorization.

100312433424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 100312433424 its reverse (424334213001), we get a palindrome (524646646425).

The spelling of 100312433424 in words is "one hundred billion, three hundred twelve million, four hundred thirty-three thousand, four hundred twenty-four".