104122382400 has 189 divisors, whose sum is σ = 370213208391. Its totient is φ = 27755642880.

The previous prime is 104122382393. The next prime is 104122382407. The reversal of 104122382400 is 4283221401.

The square root of 104122382400 is 322680.

It is a perfect power (a square), and thus also a powerful number.

104122382400 is a `hidden beast` number, since 1 + 0 + 412 + 2 + 3 + 8 + 240 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104122382393) and next prime (104122382407).

It can be written as a sum of positive squares in 4 ways, for example, as 46936355904 + 57186026496 = 216648^2 + 239136^2 .

It is not an unprimeable number, because it can be changed into a prime (104122382407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38720256 + ... + 38722944.

Almost surely, 2^104122382400 is an apocalyptic number.

104122382400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104122382400 is the 322680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104122382400

104122382400 is an abundant number, since it is smaller than the sum of its proper divisors (266090825991).

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

104122382400 is an frugal number, since it uses more digits than its factorization.

104122382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5406 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 104122382400 in words is "one hundred four billion, one hundred twenty-two million, three hundred eighty-two thousand, four hundred".