104350400 has 252 divisors, whose sum is σ = 328534776. Its totient is φ = 32524800.

The previous prime is 104350399. The next prime is 104350427. The reversal of 104350400 is 4053401.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9486395 + ... + 9486405.

Almost surely, 2^104350400 is an apocalyptic number.

104350400 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 104350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164267388).

104350400 is an abundant number, since it is smaller than the sum of its proper divisors (224184376).

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

104350400 is an equidigital number, since it uses as much as digits as its factorization.

104350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 104350400 is about 10215.2043542946. The cubic root of 104350400 is about 470.7944914486.

The spelling of 104350400 in words is "one hundred four million, three hundred fifty thousand, four hundred".