104198400 has 324 divisors, whose sum is σ = 392096432. Its totient is φ = 27371520.

The previous prime is 104198387. The next prime is 104198407. The reversal of 104198400 is 4891401.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (104198407) 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 35 ways as a sum of consecutive naturals, for example, 1555167 + ... + 1555233.

Almost surely, 2^104198400 is an apocalyptic number.

104198400 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 104198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196048216).

104198400 is an abundant number, since it is smaller than the sum of its proper divisors (287898032).

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

104198400 is an frugal number, since it uses more digits than its factorization.

104198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 104198400 is about 10207.7617527056. The cubic root of 104198400 is about 470.5657891255.

The spelling of 104198400 in words is "one hundred four million, one hundred ninety-eight thousand, four hundred".