105522656 has 48 divisors (see below), whose sum is σ = 220041360. Its totient is φ = 49674240.

The previous prime is 105522653. The next prime is 105522707. The reversal of 105522656 is 656225501.

It is a super-2 number, since 2×105522656² = 22270061858588672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105522653) 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, 119336 + ... + 120216.

It is an arithmetic number, because the mean of its divisors is an integer number (4584195).

Almost surely, 2^105522656 is an apocalyptic number.

105522656 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 105522656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110020680).

105522656 is an abundant number, since it is smaller than the sum of its proper divisors (114518704).

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

105522656 is a wasteful number, since it uses less digits than its factorization.

105522656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 105522656 is about 10272.4221097071. The cubic root of 105522656 is about 472.5508745833.

The spelling of 105522656 in words is "one hundred five million, five hundred twenty-two thousand, six hundred fifty-six".