105705216 has 144 divisors (see below), whose sum is σ = 321071520. Its totient is φ = 34283520.

The previous prime is 105705157. The next prime is 105705221. The reversal of 105705216 is 612507501.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105705216² = 22347185379213312, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105705216.

It is a congruent number.

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, 283206 + ... + 283578.

Almost surely, 2^105705216 is an apocalyptic number.

105705216 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 105705216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160535760).

105705216 is an abundant number, since it is smaller than the sum of its proper divisors (215366304).

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

105705216 is an equidigital number, since it uses as much as digits as its factorization.

105705216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 105705216 is about 10281.3041974255. The cubic root of 105705216 is about 472.8232305832.

The spelling of 105705216 in words is "one hundred five million, seven hundred five thousand, two hundred sixteen".