10007404100 has 36 divisors (see below), whose sum is σ = 22464903300. Its totient is φ = 3864927360.

The previous prime is 10007404091. The next prime is 10007404103. The reversal of 10007404100 is 140470001.

10007404100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2416115716 + 7591288384 = 49154^2 + 87128^2 .

It is not an unprimeable number, because it can be changed into a prime (10007404103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1722515 + ... + 1728314.

Almost surely, 2^10007404100 is an apocalyptic number.

10007404100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10007404100 is an abundant number, since it is smaller than the sum of its proper divisors (12457499200).

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

10007404100 is a wasteful number, since it uses less digits than its factorization.

10007404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3450872 (or 3450865 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

Adding to 10007404100 its reverse (140470001), we get a palindrome (10147874101).

The spelling of 10007404100 in words is "ten billion, seven million, four hundred four thousand, one hundred".