100334416 has 80 divisors (see below), whose sum is σ = 241484544. Its totient is φ = 39324672.

The previous prime is 100334413. The next prime is 100334419. The reversal of 100334416 is 614433001.

It is an interprime number because it is at equal distance from previous prime (100334413) and next prime (100334419).

It is a super-2 number, since 2×100334416² = 20133990068122112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100334411) 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 15 ways as a sum of consecutive naturals, for example, 199221 + ... + 199723.

Almost surely, 2^100334416 is an apocalyptic number.

100334416 is a gapful number since it is divisible by the number (16) 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 100334416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120742272).

100334416 is an abundant number, since it is smaller than the sum of its proper divisors (141150128).

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

100334416 is a wasteful number, since it uses less digits than its factorization.

100334416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 100334416 is about 10016.7068440681. The cubic root of 100334416 is about 464.6757148568.

Adding to 100334416 its reverse (614433001), we get a palindrome (714767417).

The spelling of 100334416 in words is "one hundred million, three hundred thirty-four thousand, four hundred sixteen".