104213435200 has 252 divisors, whose sum is σ = 300305919072. Its totient is φ = 35489664000.

The previous prime is 104213435197. The next prime is 104213435203. The reversal of 104213435200 is 2534312401.

It is an interprime number because it is at equal distance from previous prime (104213435197) and next prime (104213435203).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104213435203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11833999 + ... + 11842801.

Almost surely, 2^104213435200 is an apocalyptic number.

104213435200 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 104213435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150152959536).

104213435200 is an abundant number, since it is smaller than the sum of its proper divisors (196092483872).

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

104213435200 is a wasteful number, since it uses less digits than its factorization.

104213435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8990 (or 8968 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 104213435200 its reverse (2534312401), we get a palindrome (106747747601).

The spelling of 104213435200 in words is "one hundred four billion, two hundred thirteen million, four hundred thirty-five thousand, two hundred".