105716016 has 200 divisors, whose sum is σ = 359135744. Its totient is φ = 29393280.

The previous prime is 105716011. The next prime is 105716041. The reversal of 105716016 is 610617501.

105716016 is a `hidden beast` number, since 1 + 0 + 57 + 1 + 601 + 6 = 666.

It is a super-2 number, since 2×105716016² = 22351752077824512, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105716011) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 389961 + ... + 390231.

Almost surely, 2^105716016 is an apocalyptic number.

105716016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105716016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179567872).

105716016 is an abundant number, since it is smaller than the sum of its proper divisors (253419728).

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

105716016 is a wasteful number, since it uses less digits than its factorization.

105716016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 105716016 is about 10281.8294092053. The cubic root of 105716016 is about 472.8393329642.

The spelling of 105716016 in words is "one hundred five million, seven hundred sixteen thousand, sixteen".