100334080 has 160 divisors (see below), whose sum is σ = 300516480. Its totient is φ = 31211520.

The previous prime is 100334057. The next prime is 100334083. The reversal of 100334080 is 80433001.

It is a tau number, because it is divible by the number of its divisors (160).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100334083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196866 + ... + 197374.

It is an arithmetic number, because the mean of its divisors is an integer number (1878228).

Almost surely, 2^100334080 is an apocalyptic number.

100334080 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 100334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150258240).

100334080 is an abundant number, since it is smaller than the sum of its proper divisors (200182400).

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

100334080 is an equidigital number, since it uses as much as digits as its factorization.

100334080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 100334080 is about 10016.6900720747. The cubic root of 100334080 is about 464.6751961540.

Adding to 100334080 its reverse (80433001), we get a palindrome (180767081).

The spelling of 100334080 in words is "one hundred million, three hundred thirty-four thousand, eighty".