106560016 has 40 divisors (see below), whose sum is σ = 211727520. Its totient is φ = 51938304.

The previous prime is 106560011. The next prime is 106560023. The reversal of 106560016 is 610065601.

It is a super-2 number, since 2×106560016² = 22710074019840512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106560011) 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 7 ways as a sum of consecutive naturals, for example, 114240 + ... + 115168.

It is an arithmetic number, because the mean of its divisors is an integer number (5293188).

Almost surely, 2^106560016 is an apocalyptic number.

106560016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106560016 is a deficient number, since it is larger than the sum of its proper divisors (105167504).

106560016 is a wasteful number, since it uses less digits than its factorization.

106560016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 106560016 is about 10322.7910954354. The cubic root of 106560016 is about 474.0943274562.

The spelling of 106560016 in words is "one hundred six million, five hundred sixty thousand, sixteen".