105216846 has 16 divisors (see below), whose sum is σ = 240495744. Its totient is φ = 30061944.

The previous prime is 105216841. The next prime is 105216857. The reversal of 105216846 is 648612501.

It is a super-2 number, since 2×105216846² = 22141169364375432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105216841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1252540 + ... + 1252623.

It is an arithmetic number, because the mean of its divisors is an integer number (15030984).

Almost surely, 2^105216846 is an apocalyptic number.

105216846 is an abundant number, since it is smaller than the sum of its proper divisors (135278898).

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

105216846 is a wasteful number, since it uses less digits than its factorization.

105216846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505175.

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 105216846 is about 10257.5263099833. The cubic root of 105216846 is about 472.0939407725.

The spelling of 105216846 in words is "one hundred five million, two hundred sixteen thousand, eight hundred forty-six".