100034424 has 192 divisors, whose sum is σ = 327075840. Its totient is φ = 27025920.

The previous prime is 100034413. The next prime is 100034437. The reversal of 100034424 is 424430001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100034397 and 100034406.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 971157 + ... + 971259.

It is an arithmetic number, because the mean of its divisors is an integer number (1703520).

Almost surely, 2^100034424 is an apocalyptic number.

100034424 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 100034424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163537920).

100034424 is an abundant number, since it is smaller than the sum of its proper divisors (227041416).

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

100034424 is a wasteful number, since it uses less digits than its factorization.

100034424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 100034424 is about 10001.7210518990. The cubic root of 100034424 is about 464.2121379356.

Adding to 100034424 its reverse (424430001), we get a palindrome (524464425).

The spelling of 100034424 in words is "one hundred million, thirty-four thousand, four hundred twenty-four".