105536008 has 8 divisors (see below), whose sum is σ = 197880030. Its totient is φ = 52768000.

The previous prime is 105536003. The next prime is 105536047. The reversal of 105536008 is 800635501.

It can be written as a sum of positive squares in only one way, i.e., 96786244 + 8749764 = 9838^2 + 2958^2 .

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

It is a super-2 number, since 2×105536008² = 22275697969152128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105536003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6595993 + ... + 6596008.

Almost surely, 2^105536008 is an apocalyptic number.

It is an amenable number.

105536008 is a deficient number, since it is larger than the sum of its proper divisors (92344022).

105536008 is a wasteful number, since it uses less digits than its factorization.

105536008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13192007 (or 13192003 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 105536008 is about 10273.0719845624. The cubic root of 105536008 is about 472.5708046894.

It can be divided in two parts, 10553 and 6008, that added together give a palindrome (16561).

The spelling of 105536008 in words is "one hundred five million, five hundred thirty-six thousand, eight".