105505312 has 24 divisors (see below), whose sum is σ = 226597392. Its totient is φ = 47956800.

The previous prime is 105505303. The next prime is 105505321. The reversal of 105505312 is 213505501.

It is an interprime number because it is at equal distance from previous prime (105505303) and next prime (105505321).

It is a super-2 number, since 2×105505312² = 22262741720434688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 149514 + ... + 150217.

It is an arithmetic number, because the mean of its divisors is an integer number (9441558).

Almost surely, 2^105505312 is an apocalyptic number.

It is an amenable number.

105505312 is an abundant number, since it is smaller than the sum of its proper divisors (121092080).

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

105505312 is a wasteful number, since it uses less digits than its factorization.

105505312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299752 (or 299744 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 105505312 is about 10271.5778729463. The cubic root of 105505312 is about 472.5249832352.

The spelling of 105505312 in words is "one hundred five million, five hundred five thousand, three hundred twelve".