104540400 has 180 divisors, whose sum is σ = 368793360. Its totient is φ = 27417600.

The previous prime is 104540399. The next prime is 104540411. The reversal of 104540400 is 4045401.

It is a tau number, because it is divible by the number of its divisors (180).

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

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 35 ways as a sum of consecutive naturals, for example, 255396 + ... + 255804.

It is an arithmetic number, because the mean of its divisors is an integer number (2048852).

Almost surely, 2^104540400 is an apocalyptic number.

104540400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 10224×10225.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184396680).

104540400 is an abundant number, since it is smaller than the sum of its proper divisors (264252960).

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

104540400 is a wasteful number, since it uses less digits than its factorization.

104540400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 104540400 is about 10224.4999877745. The cubic root of 104540400 is about 471.0800572532.

Adding to 104540400 its reverse (4045401), we get a palindrome (108585801).

The spelling of 104540400 in words is "one hundred four million, five hundred forty thousand, four hundred".