105616016 has 20 divisors (see below), whose sum is σ = 223234224. Its totient is φ = 48007200.

The previous prime is 105616009. The next prime is 105616037. The reversal of 105616016 is 610616501.

It is a super-2 number, since 2×105616016² = 22309485671424512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

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 3 ways as a sum of consecutive naturals, for example, 299870 + ... + 300221.

Almost surely, 2^105616016 is an apocalyptic number.

105616016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105616016 is an abundant number, since it is smaller than the sum of its proper divisors (117618208).

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

105616016 is a wasteful number, since it uses less digits than its factorization.

105616016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600110 (or 600104 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 105616016 is about 10276.9653108298. The cubic root of 105616016 is about 472.6901948864.

The spelling of 105616016 in words is "one hundred five million, six hundred sixteen thousand, sixteen".