104334100 has 72 divisors (see below), whose sum is σ = 258217848. Its totient is φ = 36249600.

The previous prime is 104334091. The next prime is 104334101. The reversal of 104334100 is 1433401.

It can be written as a sum of positive squares in 12 ways, for example, as 29615364 + 74718736 = 5442^2 + 8644^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104334101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19740 + ... + 24460.

It is an arithmetic number, because the mean of its divisors is an integer number (3586359).

Almost surely, 2^104334100 is an apocalyptic number.

104334100 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 104334100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129108924).

104334100 is an abundant number, since it is smaller than the sum of its proper divisors (153883748).

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

104334100 is a wasteful number, since it uses less digits than its factorization.

104334100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4765 (or 4758 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 104334100 is about 10214.4064927924. The cubic root of 104334100 is about 470.7699767692.

Adding to 104334100 its reverse (1433401), we get a palindrome (105767501).

The spelling of 104334100 in words is "one hundred four million, three hundred thirty-four thousand, one hundred".