105525616 has 60 divisors (see below), whose sum is σ = 239181120. Its totient is φ = 44970240.

The previous prime is 105525583. The next prime is 105525617. The reversal of 105525616 is 616525501.

It is a super-2 number, since 2×105525616² = 22271311264358912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105525617) 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 11 ways as a sum of consecutive naturals, for example, 220065 + ... + 220543.

It is an arithmetic number, because the mean of its divisors is an integer number (3986352).

Almost surely, 2^105525616 is an apocalyptic number.

105525616 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 105525616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119590560).

105525616 is an abundant number, since it is smaller than the sum of its proper divisors (133655504).

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

105525616 is a wasteful number, since it uses less digits than its factorization.

105525616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The square root of 105525616 is about 10272.5661837732. The cubic root of 105525616 is about 472.5552930263. Note that the first 3 decimals are identical.

The spelling of 105525616 in words is "one hundred five million, five hundred twenty-five thousand, six hundred sixteen".