100105768 has 16 divisors (see below), whose sum is σ = 214512480. Its totient is φ = 42902448.

The previous prime is 100105739. The next prime is 100105777. The reversal of 100105768 is 867501001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 3 ways as a sum of consecutive naturals, for example, 893746 + ... + 893857.

It is an arithmetic number, because the mean of its divisors is an integer number (13407030).

Almost surely, 2^100105768 is an apocalyptic number.

It is an amenable number.

100105768 is an abundant number, since it is smaller than the sum of its proper divisors (114406712).

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

100105768 is a wasteful number, since it uses less digits than its factorization.

100105768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787616 (or 1787612 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 100105768 is about 10005.2870023803. The cubic root of 100105768 is about 464.3224695568.

Adding to 100105768 its reverse (867501001), we get a palindrome (967606769).

The spelling of 100105768 in words is "one hundred million, one hundred five thousand, seven hundred sixty-eight".