100424000 has 56 divisors (see below), whose sum is σ = 248719848. Its totient is φ = 40166400.

The previous prime is 100423991. The next prime is 100424021. The reversal of 100424000 is 424001.

It can be written as a sum of positive squares in 4 ways, for example, as 2334784 + 98089216 = 1528^2 + 9904^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1724 + ... + 14276.

Almost surely, 2^100424000 is an apocalyptic number.

100424000 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 100424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124359924).

100424000 is an abundant number, since it is smaller than the sum of its proper divisors (148295848).

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

100424000 is an equidigital number, since it uses as much as digits as its factorization.

100424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12580 (or 12560 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 100424000 is about 10021.1775755148. The cubic root of 100424000 is about 464.8139695984.

Adding to 100424000 its reverse (424001), we get a palindrome (100848001).

Subtracting from 100424000 its reverse (424001), we obtain a palindrome (99999999).

The spelling of 100424000 in words is "one hundred million, four hundred twenty-four thousand".