105466016 has 24 divisors (see below), whose sum is σ = 208565280. Its totient is φ = 52497088.

The previous prime is 105466013. The next prime is 105466051. The reversal of 105466016 is 610664501.

It is a super-2 number, since 2×105466016² = 22246161061824512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105466016.

It is not an unprimeable number, because it can be changed into a prime (105466013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5 + ... + 14523.

It is an arithmetic number, because the mean of its divisors is an integer number (8690220).

Almost surely, 2^105466016 is an apocalyptic number.

105466016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105466016 is a deficient number, since it is larger than the sum of its proper divisors (103099264).

105466016 is a wasteful number, since it uses less digits than its factorization.

105466016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14756 (or 14748 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 105466016 is about 10269.6648436061. The cubic root of 105466016 is about 472.4663111578.

The spelling of 105466016 in words is "one hundred five million, four hundred sixty-six thousand, sixteen".