104415353200 has 180 divisors, whose sum is σ = 275087895232. Its totient is φ = 38039961600.

The previous prime is 104415353177. The next prime is 104415353219. The reversal of 104415353200 is 2353514401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3569032 + ... + 3598168.

Almost surely, 2^104415353200 is an apocalyptic number.

104415353200 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 104415353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137543947616).

104415353200 is an abundant number, since it is smaller than the sum of its proper divisors (170672542032).

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

104415353200 is a wasteful number, since it uses less digits than its factorization.

104415353200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29220 (or 29192 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 104415353200 its reverse (2353514401), we get a palindrome (106768867601).

It can be divided in two parts, 10441535 and 3200, that added together give a triangular number (10444735 = T₄₅₇₀).

The spelling of 104415353200 in words is "one hundred four billion, four hundred fifteen million, three hundred fifty-three thousand, two hundred".