104630400 has 384 divisors, whose sum is σ = 440150400. Its totient is φ = 23777280.

The previous prime is 104630399. The next prime is 104630431. The reversal of 104630400 is 4036401.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 604714 + ... + 604886.

It is an arithmetic number, because the mean of its divisors is an integer number (1146225).

Almost surely, 2^104630400 is an apocalyptic number.

104630400 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 104630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220075200).

104630400 is an abundant number, since it is smaller than the sum of its proper divisors (335520000).

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

104630400 is a wasteful number, since it uses less digits than its factorization.

104630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 104630400 is about 10228.9002341405. The cubic root of 104630400 is about 471.2152045080.

Adding to 104630400 its reverse (4036401), we get a palindrome (108666801).

The spelling of 104630400 in words is "one hundred four million, six hundred thirty thousand, four hundred".