104348400 has 120 divisors (see below), whose sum is σ = 360029040. Its totient is φ = 25681920.

The previous prime is 104348389. The next prime is 104348441. The reversal of 104348400 is 4843401.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12256 + ... + 18944.

It is an arithmetic number, because the mean of its divisors is an integer number (3000242).

Almost surely, 2^104348400 is an apocalyptic number.

104348400 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 104348400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180014520).

104348400 is an abundant number, since it is smaller than the sum of its proper divisors (255680640).

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

104348400 is a wasteful number, since it uses less digits than its factorization.

104348400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6723 (or 6712 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 104348400 is about 10215.1064605319. The cubic root of 104348400 is about 470.7914836499.

The spelling of 104348400 in words is "one hundred four million, three hundred forty-eight thousand, four hundred".