105541288 has 8 divisors (see below), whose sum is σ = 197889930. Its totient is φ = 52770640.

The previous prime is 105541277. The next prime is 105541297. The reversal of 105541288 is 882145501.

It can be written as a sum of positive squares in only one way, i.e., 102779044 + 2762244 = 10138^2 + 1662^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×105541288² = 22277926945397888, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6596323 + ... + 6596338.

Almost surely, 2^105541288 is an apocalyptic number.

It is an amenable number.

105541288 is a deficient number, since it is larger than the sum of its proper divisors (92348642).

105541288 is a wasteful number, since it uses less digits than its factorization.

105541288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13192667 (or 13192663 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 34.

The square root of 105541288 is about 10273.3289638753. The cubic root of 105541288 is about 472.5786855138.

Adding to 105541288 its reverse (882145501), we get a palindrome (987686789).

The spelling of 105541288 in words is "one hundred five million, five hundred forty-one thousand, two hundred eighty-eight".