105786016 has 48 divisors (see below), whose sum is σ = 248379264. Its totient is φ = 43363584.

The previous prime is 105786013. The next prime is 105786059. The reversal of 105786016 is 610687501.

It is a super-2 number, since 2×105786016² = 22381362362304512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105786013) 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 7 ways as a sum of consecutive naturals, for example, 5115 + ... + 15418.

It is an arithmetic number, because the mean of its divisors is an integer number (5174568).

Almost surely, 2^105786016 is an apocalyptic number.

105786016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105786016 is an abundant number, since it is smaller than the sum of its proper divisors (142593248).

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

105786016 is a wasteful number, since it uses less digits than its factorization.

105786016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20573 (or 20565 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 105786016 is about 10285.2329093706. The cubic root of 105786016 is about 472.9436736680.

The spelling of 105786016 in words is "one hundred five million, seven hundred eighty-six thousand, sixteen".