10006249100 has 18 divisors (see below), whose sum is σ = 21713560764. Its totient is φ = 4002499600.

The previous prime is 10006249069. The next prime is 10006249103. The reversal of 10006249100 is 194260001.

It is a happy number.

10006249100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10006249103) 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 5 ways as a sum of consecutive naturals, for example, 50031146 + ... + 50031345.

Almost surely, 2^10006249100 is an apocalyptic number.

10006249100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10006249100 is an abundant number, since it is smaller than the sum of its proper divisors (11707311664).

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

10006249100 is a wasteful number, since it uses less digits than its factorization.

10006249100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100062505 (or 100062498 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 10006249100 in words is "ten billion, six million, two hundred forty-nine thousand, one hundred".