104700211200 has 780 divisors, whose sum is σ = 418098193128. Its totient is φ = 25745817600.

The previous prime is 104700211181. The next prime is 104700211207. The reversal of 104700211200 is 2112007401.

It is a tau number, because it is divible by the number of its divisors (780).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104700211207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 107826715 + ... + 107827685.

Almost surely, 2^104700211200 is an apocalyptic number.

104700211200 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 104700211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209049096564).

104700211200 is an abundant number, since it is smaller than the sum of its proper divisors (313397981928).

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

104700211200 is an equidigital number, since it uses as much as digits as its factorization.

104700211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 104700211200 its reverse (2112007401), we get a palindrome (106812218601).

The spelling of 104700211200 in words is "one hundred four billion, seven hundred million, two hundred eleven thousand, two hundred".