105608016 has 40 divisors (see below), whose sum is σ = 303135360. Its totient is φ = 35202528.

The previous prime is 105608011. The next prime is 105608017. The reversal of 105608016 is 610806501.

105608016 is a `hidden beast` number, since 10 + 560 + 80 + 16 = 666.

It is a super-2 number, since 2×105608016² = 22306106086912512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105608011) 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, 121800 + ... + 122663.

It is an arithmetic number, because the mean of its divisors is an integer number (7578384).

Almost surely, 2^105608016 is an apocalyptic number.

105608016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105608016 is an abundant number, since it is smaller than the sum of its proper divisors (197527344).

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

105608016 is a wasteful number, since it uses less digits than its factorization.

105608016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244480 (or 244468 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 105608016 is about 10276.5760835017. The cubic root of 105608016 is about 472.6782597741.

The spelling of 105608016 in words is "one hundred five million, six hundred eight thousand, sixteen".