105728616 has 192 divisors, whose sum is σ = 352060800. Its totient is φ = 27993600.

The previous prime is 105728611. The next prime is 105728629. The reversal of 105728616 is 616827501.

105728616 is a `hidden beast` number, since 1 + 0 + 572 + 86 + 1 + 6 = 666.

It is a super-2 number, since 2×105728616² = 22357080482550912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105728611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 584046 + ... + 584226.

It is an arithmetic number, because the mean of its divisors is an integer number (1833650).

Almost surely, 2^105728616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105728616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176030400).

105728616 is an abundant number, since it is smaller than the sum of its proper divisors (246332184).

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

105728616 is a wasteful number, since it uses less digits than its factorization.

105728616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 105728616 is about 10282.4421223754. The cubic root of 105728616 is about 472.8581176893.

The spelling of 105728616 in words is "one hundred five million, seven hundred twenty-eight thousand, six hundred sixteen".