100009099600 has 30 divisors (see below), whose sum is σ = 240271862750. Its totient is φ = 40003639680.

The previous prime is 100009099577. The next prime is 100009099607. The reversal of 100009099600 is 6990900001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 269353744 + 99739745856 = 16412^2 + 315816^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100009099607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125010975 + ... + 125011774.

Almost surely, 2^100009099600 is an apocalyptic number.

100009099600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100009099600 is an abundant number, since it is smaller than the sum of its proper divisors (140262763150).

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

100009099600 is a wasteful number, since it uses less digits than its factorization.

100009099600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250022767 (or 250022756 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 34.

Adding to 100009099600 its reverse (6990900001), we get a palindrome (106999999601).

The spelling of 100009099600 in words is "one hundred billion, nine million, ninety-nine thousand, six hundred".