104264400 has 240 divisors, whose sum is σ = 373636800. Its totient is φ = 24698880.

The previous prime is 104264399. The next prime is 104264441. The reversal of 104264400 is 4462401.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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, 387466 + ... + 387734.

It is an arithmetic number, because the mean of its divisors is an integer number (1556820).

Almost surely, 2^104264400 is an apocalyptic number.

104264400 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 104264400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186818400).

104264400 is an abundant number, since it is smaller than the sum of its proper divisors (269372400).

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

104264400 is a wasteful number, since it uses less digits than its factorization.

104264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 104264400 is about 10210.9940750154. The cubic root of 104264400 is about 470.6651213835.

The spelling of 104264400 in words is "one hundred four million, two hundred sixty-four thousand, four hundred".