104122400 has 72 divisors (see below), whose sum is σ = 256116420. Its totient is φ = 41333760.

The previous prime is 104122387. The next prime is 104122409. The reversal of 104122400 is 4221401.

It can be written as a sum of positive squares in 6 ways, for example, as 30780304 + 73342096 = 5548^2 + 8564^2 .

It is not an unprimeable number, because it can be changed into a prime (104122409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125186 + ... + 126014.

Almost surely, 2^104122400 is an apocalyptic number.

104122400 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 104122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128058210).

104122400 is an abundant number, since it is smaller than the sum of its proper divisors (151994020).

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

104122400 is a wasteful number, since it uses less digits than its factorization.

104122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 104122400 is about 10204.0384162350. The cubic root of 104122400 is about 470.4513545519.

Adding to 104122400 its reverse (4221401), we get a palindrome (108343801).

Subtracting from 104122400 its reverse (4221401), we obtain a palindrome (99900999).

The spelling of 104122400 in words is "one hundred four million, one hundred twenty-two thousand, four hundred".