105365316 has 48 divisors (see below), whose sum is σ = 281515136. Its totient is φ = 30046464.

The previous prime is 105365297. The next prime is 105365329. The reversal of 105365316 is 613563501.

It is a super-2 number, since 2×105365316² = 22203699631559712, which contains 22 as substring.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62760 + ... + 64416.

Almost surely, 2^105365316 is an apocalyptic number.

It is an amenable number.

105365316 is an abundant number, since it is smaller than the sum of its proper divisors (176149820).

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

105365316 is a wasteful number, since it uses less digits than its factorization.

105365316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 105365316 is about 10264.7608837225. The cubic root of 105365316 is about 472.3158914308.

The spelling of 105365316 in words is "one hundred five million, three hundred sixty-five thousand, three hundred sixteen".