104706400 has 72 divisors (see below), whose sum is σ = 270685800. Its totient is φ = 39413760.

The previous prime is 104706389. The next prime is 104706403. The reversal of 104706400 is 4607401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104706403) 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, 9751 + ... + 17449.

It is an arithmetic number, because the mean of its divisors is an integer number (3759525).

Almost surely, 2^104706400 is an apocalyptic number.

104706400 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 104706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135342900).

104706400 is an abundant number, since it is smaller than the sum of its proper divisors (165979400).

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

104706400 is a wasteful number, since it uses less digits than its factorization.

104706400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7736 (or 7723 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 104706400 is about 10232.6145241575. The cubic root of 104706400 is about 471.3292685152.

The spelling of 104706400 in words is "one hundred four million, seven hundred six thousand, four hundred".