104431600 has 240 divisors, whose sum is σ = 327201280. Its totient is φ = 31104000.

The previous prime is 104431583. The next prime is 104431631. The reversal of 104431600 is 6134401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 691525 + ... + 691675.

Almost surely, 2^104431600 is an apocalyptic number.

104431600 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 104431600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163600640).

104431600 is an abundant number, since it is smaller than the sum of its proper divisors (222769680).

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

104431600 is a wasteful number, since it uses less digits than its factorization.

104431600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 197 counting only the distinct ones).

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

The square root of 104431600 is about 10219.1780491388. The cubic root of 104431600 is about 470.9165756354.

The spelling of 104431600 in words is "one hundred four million, four hundred thirty-one thousand, six hundred".