105630016 has 56 divisors (see below), whose sum is σ = 216859104. Its totient is φ = 51018240.

The previous prime is 105630013. The next prime is 105630023. The reversal of 105630016 is 610036501.

It is a super-2 number, since 2×105630016² = 22315400560320512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105630011) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 360366 + ... + 360658.

It is an arithmetic number, because the mean of its divisors is an integer number (3872484).

Almost surely, 2^105630016 is an apocalyptic number.

105630016 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 105630016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108429552).

105630016 is an abundant number, since it is smaller than the sum of its proper divisors (111229088).

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

105630016 is a wasteful number, since it uses less digits than its factorization.

105630016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 105630016 is about 10277.6464231846. The cubic root of 105630016 is about 472.7110798828.

Adding to 105630016 its reverse (610036501), we get a palindrome (715666517).

The spelling of 105630016 in words is "one hundred five million, six hundred thirty thousand, sixteen".