104412100 has 36 divisors (see below), whose sum is σ = 244006084. Its totient is φ = 38551680.

The previous prime is 104412097. The next prime is 104412107. The reversal of 104412100 is 1214401.

104412100 = 80² + 81² + ... + 679².

It can be written as a sum of positive squares in 6 ways, for example, as 32535616 + 71876484 = 5704^2 + 8478^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104412107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38859 + ... + 41458.

Almost surely, 2^104412100 is an apocalyptic number.

104412100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104412100 is an abundant number, since it is smaller than the sum of its proper divisors (139593984).

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

104412100 is a wasteful number, since it uses less digits than its factorization.

104412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80344 (or 80337 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 104412100 is about 10218.2239161216. The cubic root of 104412100 is about 470.8872631641.

Adding to 104412100 its reverse (1214401), we get a palindrome (105626501).

The spelling of 104412100 in words is "one hundred four million, four hundred twelve thousand, one hundred".