105767552 has 48 divisors (see below), whose sum is σ = 231639450. Its totient is φ = 48069120.

The previous prime is 105767551. The next prime is 105767609. The reversal of 105767552 is 255767501.

It can be written as a sum of positive squares in only one way, i.e., 88661056 + 17106496 = 9416^2 + 4136^2 .

It is a super-2 number, since 2×105767552² = 22373550112145408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105767551) 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 5 ways as a sum of consecutive naturals, for example, 12074 + ... + 18902.

Almost surely, 2^105767552 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 105767552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115819725).

105767552 is an abundant number, since it is smaller than the sum of its proper divisors (125871898).

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

105767552 is an equidigital number, since it uses as much as digits as its factorization.

105767552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6865 (or 6842 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 38.

The square root of 105767552 is about 10284.3352726367. The cubic root of 105767552 is about 472.9161560419.

The spelling of 105767552 in words is "one hundred five million, seven hundred sixty-seven thousand, five hundred fifty-two".