105846216 has 64 divisors (see below), whose sum is σ = 320215680. Its totient is φ = 28462080.

The previous prime is 105846193. The next prime is 105846269. The reversal of 105846216 is 612648501.

It is a super-2 number, since 2×105846216² = 22406842883037312, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15675 + ... + 21386.

It is an arithmetic number, because the mean of its divisors is an integer number (5003370).

Almost surely, 2^105846216 is an apocalyptic number.

It is an amenable number.

105846216 is an abundant number, since it is smaller than the sum of its proper divisors (214369464).

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

105846216 is a wasteful number, since it uses less digits than its factorization.

105846216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37094 (or 37090 counting only the distinct ones).

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

The square root of 105846216 is about 10288.1590189888. The cubic root of 105846216 is about 473.0333698654.

It can be divided in two parts, 1058 and 46216, that added together give a palindrome (47274).

The spelling of 105846216 in words is "one hundred five million, eight hundred forty-six thousand, two hundred sixteen".