105505236 has 36 divisors (see below), whose sum is σ = 267009652. Its totient is φ = 35126784.

The previous prime is 105505229. The next prime is 105505237. The reversal of 105505236 is 632505501.

It can be written as a sum of positive squares in 2 ways, for example, as 97416900 + 8088336 = 9870^2 + 2844^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105505236² = 22262709646831392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105505237) by changing a digit.

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 in 11 ways as a sum of consecutive naturals, for example, 51300 + ... + 53316.

Almost surely, 2^105505236 is an apocalyptic number.

It is an amenable number.

105505236 is an abundant number, since it is smaller than the sum of its proper divisors (161504416).

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

105505236 is a wasteful number, since it uses less digits than its factorization.

105505236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 105505236 is about 10271.5741734167. The cubic root of 105505236 is about 472.5248697752.

The spelling of 105505236 in words is "one hundred five million, five hundred five thousand, two hundred thirty-six".