1004400100 has 72 divisors (see below), whose sum is σ = 2395159200. Its totient is φ = 362553600.

The previous prime is 1004400091. The next prime is 1004400127. The reversal of 1004400100 is 10044001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149616 + ... + 156184.

It is an arithmetic number, because the mean of its divisors is an integer number (33266100).

Almost surely, 2^1004400100 is an apocalyptic number.

1004400100 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 1004400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197579600).

1004400100 is an abundant number, since it is smaller than the sum of its proper divisors (1390759100).

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

1004400100 is a wasteful number, since it uses less digits than its factorization.

1004400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6733 (or 6726 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1004400100 is about 31692.2719286579. The cubic root of 1004400100 is about 1001.4645540344.

Adding to 1004400100 its reverse (10044001), we get a palindrome (1014444101).

1004400100 divided by its reverse (10044001) gives a square (100 = 10²).

It can be divided in two parts, 1004 and 400100, that added together give a palindrome (401104).

The spelling of 1004400100 in words is "one billion, four million, four hundred thousand, one hundred".