104284683238400 has 1584 divisors, whose sum is σ = 314531867797056. Its totient is φ = 34162417336320.

The previous prime is 104284683238369. The next prime is 104284683238423. The reversal of 104284683238400 is 4832386482401.

It is a super-2 number, since 2×104284683238400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 664233651122 + ... + 664233651278.

Almost surely, 2^{104284683238400} is an apocalyptic number.

104284683238400 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 104284683238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157265933898528).

104284683238400 is an abundant number, since it is smaller than the sum of its proper divisors (210247184558656).

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

104284683238400 is a wasteful number, since it uses less digits than its factorization.

104284683238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 53.

The spelling of 104284683238400 in words is "one hundred four trillion, two hundred eighty-four billion, six hundred eighty-three million, two hundred thirty-eight thousand, four hundred".