105216360 has 64 divisors (see below), whose sum is σ = 319999680. Its totient is φ = 27671040.

The previous prime is 105216359. The next prime is 105216367. The reversal of 105216360 is 63612501.

It is a super-2 number, since 2×105216360² = 22140964823299200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 105216360.

It is not an unprimeable number, because it can be changed into a prime (105216367) by changing a digit.

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, 2755 + ... + 14765.

It is an arithmetic number, because the mean of its divisors is an integer number (4999995).

Almost surely, 2^105216360 is an apocalyptic number.

105216360 is a gapful number since it is divisible by the number (10) 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 105216360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159999840).

105216360 is an abundant number, since it is smaller than the sum of its proper divisors (214783320).

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

105216360 is a wasteful number, since it uses less digits than its factorization.

105216360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12098 (or 12094 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 105216360 is about 10257.5026200338. The cubic root of 105216360 is about 472.0932138990.

Adding to 105216360 its reverse (63612501), we get a palindrome (168828861).

The spelling of 105216360 in words is "one hundred five million, two hundred sixteen thousand, three hundred sixty".