104210024400 has 180 divisors, whose sum is σ = 367767934560. Its totient is φ = 27318278400.

The previous prime is 104210024323. The next prime is 104210024419. The reversal of 104210024400 is 4420012401.

104210024400 is a `hidden beast` number, since 1 + 0 + 421 + 0 + 0 + 244 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 32916 + ... + 457715.

It is an arithmetic number, because the mean of its divisors is an integer number (2043155192).

Almost surely, 2^104210024400 is an apocalyptic number.

104210024400 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 104210024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183883967280).

104210024400 is an abundant number, since it is smaller than the sum of its proper divisors (263557910160).

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

104210024400 is a wasteful number, since it uses less digits than its factorization.

104210024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490714 (or 490700 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 104210024400 its reverse (4420012401), we get a palindrome (108630036801).

The spelling of 104210024400 in words is "one hundred four billion, two hundred ten million, twenty-four thousand, four hundred".