106008916 has 24 divisors (see below), whose sum is σ = 201565224. Its totient is φ = 48491520.

The previous prime is 106008901. The next prime is 106008937. The reversal of 106008916 is 619800601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17724100 + 88284816 = 4210^2 + 9396^2 .

It is a super-2 number, since 2×106008916² = 22475780542990112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3145 + ... + 14896.

It is an arithmetic number, because the mean of its divisors is an integer number (8398551).

Almost surely, 2^106008916 is an apocalyptic number.

It is an amenable number.

106008916 is a deficient number, since it is larger than the sum of its proper divisors (95556308).

106008916 is a wasteful number, since it uses less digits than its factorization.

106008916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18171 (or 18169 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 106008916 is about 10296.0631311196. The cubic root of 106008916 is about 473.2756179490.

The spelling of 106008916 in words is "one hundred six million, eight thousand, nine hundred sixteen".