104008400 has 60 divisors (see below), whose sum is σ = 255733632. Its totient is φ = 40629120.

The previous prime is 104008393. The next prime is 104008409. The reversal of 104008400 is 4800401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104008409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14177 + ... + 20223.

Almost surely, 2^104008400 is an apocalyptic number.

104008400 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 104008400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127866816).

104008400 is an abundant number, since it is smaller than the sum of its proper divisors (151725232).

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

104008400 is a wasteful number, since it uses less digits than its factorization.

104008400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6108 (or 6097 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 104008400 is about 10198.4508627536. The cubic root of 104008400 is about 470.2795982362.

Adding to 104008400 its reverse (4800401), we get a palindrome (108808801).

The spelling of 104008400 in words is "one hundred four million, eight thousand, four hundred".