105215616 has 288 divisors, whose sum is σ = 363748320. Its totient is φ = 28892160.

The previous prime is 105215573. The next prime is 105215651. The reversal of 105215616 is 616512501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×105215616² = 22140651700518912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105215616.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4574581 + ... + 4574603.

It is an arithmetic number, because the mean of its divisors is an integer number (1263015).

Almost surely, 2^105215616 is an apocalyptic number.

105215616 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 105215616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181874160).

105215616 is an abundant number, since it is smaller than the sum of its proper divisors (258532704).

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

105215616 is a wasteful number, since it uses less digits than its factorization.

105215616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 105215616 is about 10257.4663538322. The cubic root of 105215616 is about 472.0921011500.

The spelling of 105215616 in words is "one hundred five million, two hundred fifteen thousand, six hundred sixteen".