104509036800 has 1296 divisors, whose sum is σ = 460235543040. Its totient is φ = 22083010560.

The previous prime is 104509036789. The next prime is 104509036861. The reversal of 104509036800 is 8630905401.

104509036800 is a `hidden beast` number, since 10 + 450 + 90 + 36 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 541497504 + ... + 541497696.

Almost surely, 2^104509036800 is an apocalyptic number.

104509036800 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 104509036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230117771520).

104509036800 is an abundant number, since it is smaller than the sum of its proper divisors (355726506240).

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

104509036800 is a wasteful number, since it uses less digits than its factorization.

104509036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 104509036800 in words is "one hundred four billion, five hundred nine million, thirty-six thousand, eight hundred".