104936083200 has 1080 divisors, whose sum is σ = 436653489888. Its totient is φ = 24670863360.

The previous prime is 104936083169. The next prime is 104936083201. The reversal of 104936083200 is 2380639401.

104936083200 is a `hidden beast` number, since 1 + 0 + 49 + 3 + 608 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×104936083200² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104936083201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 155001262 + ... + 155001938.

Almost surely, 2^104936083200 is an apocalyptic number.

104936083200 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 104936083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218326744944).

104936083200 is an abundant number, since it is smaller than the sum of its proper divisors (331717406688).

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

104936083200 is a wasteful number, since it uses less digits than its factorization.

104936083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 104936083200 in words is "one hundred four billion, nine hundred thirty-six million, eighty-three thousand, two hundred".