100446116 has 24 divisors (see below), whose sum is σ = 179228280. Its totient is φ = 49248000.

The previous prime is 100446109. The next prime is 100446121. The reversal of 100446116 is 611644001.

It can be written as a sum of positive squares in 4 ways, for example, as 55502500 + 44943616 = 7450^2 + 6704^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100446091 and 100446100.

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 7 ways as a sum of consecutive naturals, for example, 42896 + ... + 45176.

It is an arithmetic number, because the mean of its divisors is an integer number (7467845).

Almost surely, 2^100446116 is an apocalyptic number.

It is an amenable number.

100446116 is a deficient number, since it is larger than the sum of its proper divisors (78782164).

100446116 is a wasteful number, since it uses less digits than its factorization.

100446116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 100446116 is about 10022.2809779012. The cubic root of 100446116 is about 464.8480885049.

The spelling of 100446116 in words is "one hundred million, four hundred forty-six thousand, one hundred sixteen".