104400090 has 56 divisors (see below), whose sum is σ = 281771028. Its totient is φ = 27838080.

The previous prime is 104400083. The next prime is 104400119. The reversal of 104400090 is 90004401.

It can be written as a sum of positive squares in 2 ways, for example, as 87778161 + 16621929 = 9369^2 + 4077^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 130 + ... + 14450.

Almost surely, 2^104400090 is an apocalyptic number.

104400090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104400090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140885514).

104400090 is an abundant number, since it is smaller than the sum of its proper divisors (177370938).

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

104400090 is an equidigital number, since it uses as much as digits as its factorization.

104400090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14346 (or 14331 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 104400090 is about 10217.6362237065. The cubic root of 104400090 is about 470.8692078721.

Adding to 104400090 its reverse (90004401), we get a palindrome (194404491).

The spelling of 104400090 in words is "one hundred four million, four hundred thousand, ninety".