104440100 has 36 divisors (see below), whose sum is σ = 227982804. Its totient is φ = 41527680.

The previous prime is 104440087. The next prime is 104440103. The reversal of 104440100 is 1044401.

It can be written as a sum of positive squares in 6 ways, for example, as 440896 + 103999204 = 664^2 + 10198^2 .

It is not an unprimeable number, because it can be changed into a prime (104440103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14282 + ... + 20318.

Almost surely, 2^104440100 is an apocalyptic number.

104440100 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 104440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113991402).

104440100 is an abundant number, since it is smaller than the sum of its proper divisors (123542704).

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

104440100 is a wasteful number, since it uses less digits than its factorization.

104440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6224 (or 6217 counting only the distinct ones).

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

The square root of 104440100 is about 10219.5939253964. The cubic root of 104440100 is about 470.9293517246.

Adding to 104440100 its reverse (1044401), we get a palindrome (105484501).

Multiplying 104440100 by its reverse (1044401), we get a square (109077344880100 = 10444010²).

104440100 divided by its reverse (1044401) gives a square (100 = 10²).

The spelling of 104440100 in words is "one hundred four million, four hundred forty thousand, one hundred".