105359616 has 90 divisors (see below), whose sum is σ = 314225142. Its totient is φ = 35112960.

The previous prime is 105359603. The next prime is 105359699. The reversal of 105359616 is 616953501.

105359616 is a `hidden beast` number, since 1 + 0 + 5 + 35 + 9 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72182016 + 33177600 = 8496^2 + 5760^2 .

It is a super-2 number, since 2×105359616² = 22201297367334912, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18196 + ... + 23276.

Almost surely, 2^105359616 is an apocalyptic number.

105359616 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 105359616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157112571).

105359616 is an abundant number, since it is smaller than the sum of its proper divisors (208865526).

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

105359616 is an frugal number, since it uses more digits than its factorization.

105359616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5109 (or 5086 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 105359616 is about 10264.4832310253. The cubic root of 105359616 is about 472.3073742411.

The spelling of 105359616 in words is "one hundred five million, three hundred fifty-nine thousand, six hundred sixteen".