10024134100 has 36 divisors (see below), whose sum is σ = 22014465984. Its totient is φ = 3961341280.

The previous prime is 10024134089. The next prime is 10024134119. The reversal of 10024134100 is 143142001.

10024134100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 595564 + ... + 612163.

It is an arithmetic number, because the mean of its divisors is an integer number (611512944).

Almost surely, 2^10024134100 is an apocalyptic number.

10024134100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024134100 is an abundant number, since it is smaller than the sum of its proper divisors (11990331884).

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

10024134100 is a wasteful number, since it uses less digits than its factorization.

10024134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207824 (or 1207817 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10024134100 its reverse (143142001), we get a palindrome (10167276101).

The spelling of 10024134100 in words is "ten billion, twenty-four million, one hundred thirty-four thousand, one hundred".