105375216 has 80 divisors (see below), whose sum is σ = 288374400. Its totient is φ = 33064704.

The previous prime is 105375211. The next prime is 105375217. The reversal of 105375216 is 612573501.

It is a super-2 number, since 2×105375216² = 22207872294093312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105375211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206770 + ... + 207278.

It is an arithmetic number, because the mean of its divisors is an integer number (3604680).

Almost surely, 2^105375216 is an apocalyptic number.

105375216 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 105375216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144187200).

105375216 is an abundant number, since it is smaller than the sum of its proper divisors (182999184).

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

105375216 is a wasteful number, since it uses less digits than its factorization.

105375216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 105375216 is about 10265.2431047686. The cubic root of 105375216 is about 472.3306837143.

It can be divided in two parts, 10537 and 5216, that added together give a triangular number (15753 = T₁₇₇).

The spelling of 105375216 in words is "one hundred five million, three hundred seventy-five thousand, two hundred sixteen".