104550400 has 78 divisors (see below), whose sum is σ = 259507262. Its totient is φ = 41779200.

The previous prime is 104550389. The next prime is 104550403. The reversal of 104550400 is 4055401.

It can be written as a sum of positive squares in 3 ways, for example, as 8667136 + 95883264 = 2944^2 + 9792^2 .

It is a super-2 number, since 2×104550400² = 21861572280320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104550403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 101890 + ... + 102910.

Almost surely, 2^104550400 is an apocalyptic number.

104550400 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 104550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129753631).

104550400 is an abundant number, since it is smaller than the sum of its proper divisors (154956862).

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

104550400 is an equidigital number, since it uses as much as digits as its factorization.

104550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 104550400 is about 10224.9889975491. The cubic root of 104550400 is about 471.0950774444.

The spelling of 104550400 in words is "one hundred four million, five hundred fifty thousand, four hundred".