105945216 has 128 divisors (see below), whose sum is σ = 319300800. Its totient is φ = 30855168.

The previous prime is 105945167. The next prime is 105945223. The reversal of 105945216 is 612549501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105945216² = 22448777586573312, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94290 + ... + 95406.

Almost surely, 2^105945216 is an apocalyptic number.

105945216 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 105945216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159650400).

105945216 is an abundant number, since it is smaller than the sum of its proper divisors (213355584).

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

105945216 is a wasteful number, since it uses less digits than its factorization.

105945216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 105945216 is about 10292.9692509013. The cubic root of 105945216 is about 473.1808029765.

The spelling of 105945216 in words is "one hundred five million, nine hundred forty-five thousand, two hundred sixteen".