105535312 has 20 divisors (see below), whose sum is σ = 209463156. Its totient is φ = 51480320.

The previous prime is 105535301. The next prime is 105535319. The reversal of 105535312 is 213535501.

It can be written as a sum of positive squares in 2 ways, for example, as 35712576 + 69822736 = 5976^2 + 8356^2 .

It is a super-2 number, since 2×105535312² = 22275404157874688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105535319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 79783 + ... + 81094.

Almost surely, 2^105535312 is an apocalyptic number.

It is an amenable number.

105535312 is a deficient number, since it is larger than the sum of its proper divisors (103927844).

105535312 is a wasteful number, since it uses less digits than its factorization.

105535312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160926 (or 160920 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 105535312 is about 10273.0381095370. The cubic root of 105535312 is about 472.5697658338.

The spelling of 105535312 in words is "one hundred five million, five hundred thirty-five thousand, three hundred twelve".