100009768 has 16 divisors (see below), whose sum is σ = 197388000. Its totient is φ = 47372976.

The previous prime is 100009757. The next prime is 100009769. The reversal of 100009768 is 867900001.

It is not an unprimeable number, because it can be changed into a prime (100009769) 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 3 ways as a sum of consecutive naturals, for example, 328828 + ... + 329131.

It is an arithmetic number, because the mean of its divisors is an integer number (12336750).

Almost surely, 2^100009768 is an apocalyptic number.

It is an amenable number.

100009768 is a deficient number, since it is larger than the sum of its proper divisors (97378232).

100009768 is a wasteful number, since it uses less digits than its factorization.

100009768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657984 (or 657980 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 100009768 is about 10000.4883880739. The cubic root of 100009768 is about 464.1739958825.

Adding to 100009768 its reverse (867900001), we get a palindrome (967909769).

The spelling of 100009768 in words is "one hundred million, nine thousand, seven hundred sixty-eight".