100004412 has 96 divisors (see below), whose sum is σ = 254580480. Its totient is φ = 30481920.

The previous prime is 100004407. The next prime is 100004417. The reversal of 100004412 is 214400001.

It is an interprime number because it is at equal distance from previous prime (100004407) and next prime (100004417).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100004417) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 613443 + ... + 613605.

It is an arithmetic number, because the mean of its divisors is an integer number (2651880).

Almost surely, 2^100004412 is an apocalyptic number.

100004412 is a gapful number since it is divisible by the number (12) 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 100004412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127290240).

100004412 is an abundant number, since it is smaller than the sum of its proper divisors (154576068).

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

100004412 is a wasteful number, since it uses less digits than its factorization.

100004412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 100004412 is about 10000.2205975668. The cubic root of 100004412 is about 464.1657094909.

Adding to 100004412 its reverse (214400001), we get a palindrome (314404413).

The spelling of 100004412 in words is "one hundred million, four thousand, four hundred twelve".