104200135603200 has 6336 divisors, whose sum is σ = 509621254152192. Its totient is φ = 20495794176000.

The previous prime is 104200135603141. The next prime is 104200135603217. The reversal of 104200135603200 is 2306531002401.

104200135603200 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 0 + 0 + 1 + 35 + 603 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 690067123125 + ... + 690067123275.

Almost surely, 2^{104200135603200} is an apocalyptic number.

104200135603200 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 104200135603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254810627076096).

104200135603200 is an abundant number, since it is smaller than the sum of its proper divisors (405421118548992).

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

104200135603200 is a wasteful number, since it uses less digits than its factorization.

104200135603200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 104200135603200 its reverse (2306531002401), we get a palindrome (106506666605601).

The spelling of 104200135603200 in words is "one hundred four trillion, two hundred billion, one hundred thirty-five million, six hundred three thousand, two hundred".